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Finding the Third Proportional to 89,148.38 and 138,483.56

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Solution

The third proportional to 89,148.38 and 138,483.56 is: 215,121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,148.38 : 138,483.56 = 138,483.56 : x
  2. Step 2: Convert to fraction form
    89,148.38/138,483.56 = 138,483.56/x
  3. Step 3: Cross multiply
    89,148.38x = 138,483.56 × 138,483.56
  4. Step 4: Simplify right side
    89,148.38x = 19,177,697,082.69
  5. Step 5: Solve for x
    x = 19,177,697,082.69/89,148.38
  6. Step 6: Final answer
    x = 215,121.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.