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Finding the Third Proportional to 47,747.81 and 99,417.38

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Solution

The third proportional to 47,747.81 and 99,417.38 is: 207,000.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,747.81 : 99,417.38 = 99,417.38 : x
  2. Step 2: Convert to fraction form
    47,747.81/99,417.38 = 99,417.38/x
  3. Step 3: Cross multiply
    47,747.81x = 99,417.38 × 99,417.38
  4. Step 4: Simplify right side
    47,747.81x = 9,883,814,451.89
  5. Step 5: Solve for x
    x = 9,883,814,451.89/47,747.81
  6. Step 6: Final answer
    x = 207,000.36

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.