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Finding the Third Proportional to 83,376,168.75 and 181,105,233.75

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Solution

The third proportional to 83,376,168.75 and 181,105,233.75 is: 393,387,057.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,376,168.75 : 181,105,233.75 = 181,105,233.75 : x
  2. Step 2: Convert to fraction form
    83,376,168.75/181,105,233.75 = 181,105,233.75/x
  3. Step 3: Cross multiply
    83,376,168.75x = 181,105,233.75 × 181,105,233.75
  4. Step 4: Simplify right side
    83,376,168.75x = 32,799,105,691,642,140
  5. Step 5: Solve for x
    x = 32,799,105,691,642,140/83,376,168.75
  6. Step 6: Final answer
    x = 393,387,057.52

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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.