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Finding the Third Proportional to 103,432,734 and 222,557,881.50

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Solution

The third proportional to 103,432,734 and 222,557,881.50 is: 478,881,382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,432,734 : 222,557,881.50 = 222,557,881.50 : x
  2. Step 2: Convert to fraction form
    103,432,734/222,557,881.50 = 222,557,881.50/x
  3. Step 3: Cross multiply
    103,432,734x = 222,557,881.50 × 222,557,881.50
  4. Step 4: Simplify right side
    103,432,734x = 49,532,010,617,768,040
  5. Step 5: Solve for x
    x = 49,532,010,617,768,040/103,432,734
  6. Step 6: Final answer
    x = 478,881,382.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.