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Finding the Third Proportional to 47,072.81 and 103,501.13

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Solution

The third proportional to 47,072.81 and 103,501.13 is: 227,572.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,072.81 : 103,501.13 = 103,501.13 : x
  2. Step 2: Convert to fraction form
    47,072.81/103,501.13 = 103,501.13/x
  3. Step 3: Cross multiply
    47,072.81x = 103,501.13 × 103,501.13
  4. Step 4: Simplify right side
    47,072.81x = 10,712,482,876.27
  5. Step 5: Solve for x
    x = 10,712,482,876.27/47,072.81
  6. Step 6: Final answer
    x = 227,572.61

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