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Finding the Third Proportional to 132,199.50 and 198,595.13

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Solution

The third proportional to 132,199.50 and 198,595.13 is: 298,337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,199.50 : 198,595.13 = 198,595.13 : x
  2. Step 2: Convert to fraction form
    132,199.50/198,595.13 = 198,595.13/x
  3. Step 3: Cross multiply
    132,199.50x = 198,595.13 × 198,595.13
  4. Step 4: Simplify right side
    132,199.50x = 39,440,023,673.77
  5. Step 5: Solve for x
    x = 39,440,023,673.77/132,199.50
  6. Step 6: Final answer
    x = 298,337.16

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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.