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Finding the Third Proportional to 83,376,175.50 and 181,105,231.50

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Solution

The third proportional to 83,376,175.50 and 181,105,231.50 is: 393,387,015.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,376,175.50 : 181,105,231.50 = 181,105,231.50 : x
  2. Step 2: Convert to fraction form
    83,376,175.50/181,105,231.50 = 181,105,231.50/x
  3. Step 3: Cross multiply
    83,376,175.50x = 181,105,231.50 × 181,105,231.50
  4. Step 4: Simplify right side
    83,376,175.50x = 32,799,104,876,668,592
  5. Step 5: Solve for x
    x = 32,799,104,876,668,592/83,376,175.50
  6. Step 6: Final answer
    x = 393,387,015.89

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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.