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Finding the Third Proportional to 98,209.97 and 147,280.78

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Solution

The third proportional to 98,209.97 and 147,280.78 is: 220,869.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,209.97 : 147,280.78 = 147,280.78 : x
  2. Step 2: Convert to fraction form
    98,209.97/147,280.78 = 147,280.78/x
  3. Step 3: Cross multiply
    98,209.97x = 147,280.78 × 147,280.78
  4. Step 4: Simplify right side
    98,209.97x = 21,691,628,525.61
  5. Step 5: Solve for x
    x = 21,691,628,525.61/98,209.97
  6. Step 6: Final answer
    x = 220,869.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.