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Finding the Third Proportional to 81,817,904 and 181,797,124

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Solution

The third proportional to 81,817,904 and 181,797,124 is: 403,948,190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,817,904 : 181,797,124 = 181,797,124 : x
  2. Step 2: Convert to fraction form
    81,817,904/181,797,124 = 181,797,124/x
  3. Step 3: Cross multiply
    81,817,904x = 181,797,124 × 181,797,124
  4. Step 4: Simplify right side
    81,817,904x = 33,050,194,294,671,376
  5. Step 5: Solve for x
    x = 33,050,194,294,671,376/81,817,904
  6. Step 6: Final answer
    x = 403,948,190.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.