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Finding the Third Proportional to 238,432,578.75 and 322,042,285.13

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Solution

The third proportional to 238,432,578.75 and 322,042,285.13 is: 434,970,900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,432,578.75 : 322,042,285.13 = 322,042,285.13 : x
  2. Step 2: Convert to fraction form
    238,432,578.75/322,042,285.13 = 322,042,285.13/x
  3. Step 3: Cross multiply
    238,432,578.75x = 322,042,285.13 × 322,042,285.13
  4. Step 4: Simplify right side
    238,432,578.75x = 103,711,233,408,531,792
  5. Step 5: Solve for x
    x = 103,711,233,408,531,792/238,432,578.75
  6. Step 6: Final answer
    x = 434,970,900.17

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.