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Finding the Third Proportional to 99,417.38 and 147,197.25

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Solution

The third proportional to 99,417.38 and 147,197.25 is: 217,940.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,417.38 : 147,197.25 = 147,197.25 : x
  2. Step 2: Convert to fraction form
    99,417.38/147,197.25 = 147,197.25/x
  3. Step 3: Cross multiply
    99,417.38x = 147,197.25 × 147,197.25
  4. Step 4: Simplify right side
    99,417.38x = 21,667,030,407.56
  5. Step 5: Solve for x
    x = 21,667,030,407.56/99,417.38
  6. Step 6: Final answer
    x = 217,940.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.