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Finding the Third Proportional to 218,281,792,993.88 and 475,000,305,586.88

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Solution

The third proportional to 218,281,792,993.88 and 475,000,305,586.88 is: 1,033,642,280,526.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,281,792,993.88 : 475,000,305,586.88 = 475,000,305,586.88 : x
  2. Step 2: Convert to fraction form
    218,281,792,993.88/475,000,305,586.88 = 475,000,305,586.88/x
  3. Step 3: Cross multiply
    218,281,792,993.88x = 475,000,305,586.88 × 475,000,305,586.88
  4. Step 4: Simplify right side
    218,281,792,993.88x = 225,625,290,307,629,404,389,376
  5. Step 5: Solve for x
    x = 225,625,290,307,629,404,389,376/218,281,792,993.88
  6. Step 6: Final answer
    x = 1,033,642,280,526.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.