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Finding the Third Proportional to 147,930.33 and 209,320.17

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Solution

The third proportional to 147,930.33 and 209,320.17 is: 296,186.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,930.33 : 209,320.17 = 209,320.17 : x
  2. Step 2: Convert to fraction form
    147,930.33/209,320.17 = 209,320.17/x
  3. Step 3: Cross multiply
    147,930.33x = 209,320.17 × 209,320.17
  4. Step 4: Simplify right side
    147,930.33x = 43,814,934,353.78
  5. Step 5: Solve for x
    x = 43,814,934,353.78/147,930.33
  6. Step 6: Final answer
    x = 296,186.29

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.