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Finding the Third Proportional to 83,376,510.75 and 181,105,902

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Solution

The third proportional to 83,376,510.75 and 181,105,902 is: 393,388,346.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,376,510.75 : 181,105,902 = 181,105,902 : x
  2. Step 2: Convert to fraction form
    83,376,510.75/181,105,902 = 181,105,902/x
  3. Step 3: Cross multiply
    83,376,510.75x = 181,105,902 × 181,105,902
  4. Step 4: Simplify right side
    83,376,510.75x = 32,799,347,739,233,604
  5. Step 5: Solve for x
    x = 32,799,347,739,233,604/83,376,510.75
  6. Step 6: Final answer
    x = 393,388,346.96

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Why These Related Problems?

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