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Finding the Third Proportional to 99,195.47 and 141,793.03

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Solution

The third proportional to 99,195.47 and 141,793.03 is: 202,683.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,195.47 : 141,793.03 = 141,793.03 : x
  2. Step 2: Convert to fraction form
    99,195.47/141,793.03 = 141,793.03/x
  3. Step 3: Cross multiply
    99,195.47x = 141,793.03 × 141,793.03
  4. Step 4: Simplify right side
    99,195.47x = 20,105,263,711.06
  5. Step 5: Solve for x
    x = 20,105,263,711.06/99,195.47
  6. Step 6: Final answer
    x = 202,683.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.