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Finding the Third Proportional to 131,640.19 and 198,622.13

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Solution

The third proportional to 131,640.19 and 198,622.13 is: 299,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,640.19 : 198,622.13 = 198,622.13 : x
  2. Step 2: Convert to fraction form
    131,640.19/198,622.13 = 198,622.13/x
  3. Step 3: Cross multiply
    131,640.19x = 198,622.13 × 198,622.13
  4. Step 4: Simplify right side
    131,640.19x = 39,450,748,539.52
  5. Step 5: Solve for x
    x = 39,450,748,539.52/131,640.19
  6. Step 6: Final answer
    x = 299,686.21

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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.