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Finding the Third Proportional to 98,711.16 and 148,955.20

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Solution

The third proportional to 98,711.16 and 148,955.20 is: 224,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,711.16 : 148,955.20 = 148,955.20 : x
  2. Step 2: Convert to fraction form
    98,711.16/148,955.20 = 148,955.20/x
  3. Step 3: Cross multiply
    98,711.16x = 148,955.20 × 148,955.20
  4. Step 4: Simplify right side
    98,711.16x = 22,187,652,538.01
  5. Step 5: Solve for x
    x = 22,187,652,538.01/98,711.16
  6. Step 6: Final answer
    x = 224,773.50

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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.