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Finding the Third Proportional to 96,322.92 and 153,402.61

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Solution

The third proportional to 96,322.92 and 153,402.61 is: 244,306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,322.92 : 153,402.61 = 153,402.61 : x
  2. Step 2: Convert to fraction form
    96,322.92/153,402.61 = 153,402.61/x
  3. Step 3: Cross multiply
    96,322.92x = 153,402.61 × 153,402.61
  4. Step 4: Simplify right side
    96,322.92x = 23,532,360,563.06
  5. Step 5: Solve for x
    x = 23,532,360,563.06/96,322.92
  6. Step 6: Final answer
    x = 244,306.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.