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Finding the Third Proportional to 209,270,628 and 488,795,046.75

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Solution

The third proportional to 209,270,628 and 488,795,046.75 is: 1,141,682,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,270,628 : 488,795,046.75 = 488,795,046.75 : x
  2. Step 2: Convert to fraction form
    209,270,628/488,795,046.75 = 488,795,046.75/x
  3. Step 3: Cross multiply
    209,270,628x = 488,795,046.75 × 488,795,046.75
  4. Step 4: Simplify right side
    209,270,628x = 238,920,597,727,334,688
  5. Step 5: Solve for x
    x = 238,920,597,727,334,688/209,270,628
  6. Step 6: Final answer
    x = 1,141,682,423.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.