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Finding the Third Proportional to 99,037.69 and 148,199.63

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Solution

The third proportional to 99,037.69 and 148,199.63 is: 221,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,037.69 : 148,199.63 = 148,199.63 : x
  2. Step 2: Convert to fraction form
    99,037.69/148,199.63 = 148,199.63/x
  3. Step 3: Cross multiply
    99,037.69x = 148,199.63 × 148,199.63
  4. Step 4: Simplify right side
    99,037.69x = 21,963,128,850.14
  5. Step 5: Solve for x
    x = 21,963,128,850.14/99,037.69
  6. Step 6: Final answer
    x = 221,765.36

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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.