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Finding the Third Proportional to 99,037.13 and 149,029.88

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Solution

The third proportional to 99,037.13 and 149,029.88 is: 224,258.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,037.13 : 149,029.88 = 149,029.88 : x
  2. Step 2: Convert to fraction form
    99,037.13/149,029.88 = 149,029.88/x
  3. Step 3: Cross multiply
    99,037.13x = 149,029.88 × 149,029.88
  4. Step 4: Simplify right side
    99,037.13x = 22,209,903,642.52
  5. Step 5: Solve for x
    x = 22,209,903,642.52/99,037.13
  6. Step 6: Final answer
    x = 224,258.36

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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.