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Finding the Third Proportional to 83,376,157.50 and 181,105,213.50

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Solution

The third proportional to 83,376,157.50 and 181,105,213.50 is: 393,387,022.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,376,157.50 : 181,105,213.50 = 181,105,213.50 : x
  2. Step 2: Convert to fraction form
    83,376,157.50/181,105,213.50 = 181,105,213.50/x
  3. Step 3: Cross multiply
    83,376,157.50x = 181,105,213.50 × 181,105,213.50
  4. Step 4: Simplify right side
    83,376,157.50x = 32,799,098,356,880,584
  5. Step 5: Solve for x
    x = 32,799,098,356,880,584/83,376,157.50
  6. Step 6: Final answer
    x = 393,387,022.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.