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Finding the Third Proportional to 82,498,632 and 181,471,179

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Solution

The third proportional to 82,498,632 and 181,471,179 is: 399,179,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,498,632 : 181,471,179 = 181,471,179 : x
  2. Step 2: Convert to fraction form
    82,498,632/181,471,179 = 181,471,179/x
  3. Step 3: Cross multiply
    82,498,632x = 181,471,179 × 181,471,179
  4. Step 4: Simplify right side
    82,498,632x = 32,931,788,807,650,040
  5. Step 5: Solve for x
    x = 32,931,788,807,650,040/82,498,632
  6. Step 6: Final answer
    x = 399,179,816.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.