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Finding the Third Proportional to 238,943,432.25 and 519,937,042.50

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Solution

The third proportional to 238,943,432.25 and 519,937,042.50 is: 1,131,374,591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,943,432.25 : 519,937,042.50 = 519,937,042.50 : x
  2. Step 2: Convert to fraction form
    238,943,432.25/519,937,042.50 = 519,937,042.50/x
  3. Step 3: Cross multiply
    238,943,432.25x = 519,937,042.50 × 519,937,042.50
  4. Step 4: Simplify right side
    238,943,432.25x = 270,334,528,163,646,816
  5. Step 5: Solve for x
    x = 270,334,528,163,646,816/238,943,432.25
  6. Step 6: Final answer
    x = 1,131,374,591.96

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