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Finding the Third Proportional to 98,466.38 and 148,864.13

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Solution

The third proportional to 98,466.38 and 148,864.13 is: 225,056.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,466.38 : 148,864.13 = 148,864.13 : x
  2. Step 2: Convert to fraction form
    98,466.38/148,864.13 = 148,864.13/x
  3. Step 3: Cross multiply
    98,466.38x = 148,864.13 × 148,864.13
  4. Step 4: Simplify right side
    98,466.38x = 22,160,527,712.02
  5. Step 5: Solve for x
    x = 22,160,527,712.02/98,466.38
  6. Step 6: Final answer
    x = 225,056.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.