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Finding the Third Proportional to 89,931.38 and 138,393.56

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Solution

The third proportional to 89,931.38 and 138,393.56 is: 212,971.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,931.38 : 138,393.56 = 138,393.56 : x
  2. Step 2: Convert to fraction form
    89,931.38/138,393.56 = 138,393.56/x
  3. Step 3: Cross multiply
    89,931.38x = 138,393.56 × 138,393.56
  4. Step 4: Simplify right side
    89,931.38x = 19,152,778,141.44
  5. Step 5: Solve for x
    x = 19,152,778,141.44/89,931.38
  6. Step 6: Final answer
    x = 212,971.04

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.