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Finding the Third Proportional to 48,898.97 and 103,139.44

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Solution

The third proportional to 48,898.97 and 103,139.44 is: 217,545.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,898.97 : 103,139.44 = 103,139.44 : x
  2. Step 2: Convert to fraction form
    48,898.97/103,139.44 = 103,139.44/x
  3. Step 3: Cross multiply
    48,898.97x = 103,139.44 × 103,139.44
  4. Step 4: Simplify right side
    48,898.97x = 10,637,743,567.82
  5. Step 5: Solve for x
    x = 10,637,743,567.82/48,898.97
  6. Step 6: Final answer
    x = 217,545.36

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.