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Finding the Third Proportional to 89,163.28 and 130,463.16

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Solution

The third proportional to 89,163.28 and 130,463.16 is: 190,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,163.28 : 130,463.16 = 130,463.16 : x
  2. Step 2: Convert to fraction form
    89,163.28/130,463.16 = 130,463.16/x
  3. Step 3: Cross multiply
    89,163.28x = 130,463.16 × 130,463.16
  4. Step 4: Simplify right side
    89,163.28x = 17,020,635,138.71
  5. Step 5: Solve for x
    x = 17,020,635,138.71/89,163.28
  6. Step 6: Final answer
    x = 190,892.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.