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Finding the Third Proportional to 86,663.81 and 181,711.13

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Solution

The third proportional to 86,663.81 and 181,711.13 is: 381,000.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,663.81 : 181,711.13 = 181,711.13 : x
  2. Step 2: Convert to fraction form
    86,663.81/181,711.13 = 181,711.13/x
  3. Step 3: Cross multiply
    86,663.81x = 181,711.13 × 181,711.13
  4. Step 4: Simplify right side
    86,663.81x = 33,018,932,948.77
  5. Step 5: Solve for x
    x = 33,018,932,948.77/86,663.81
  6. Step 6: Final answer
    x = 381,000.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.