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Finding the Third Proportional to 99,197.38 and 141,795.75

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Solution

The third proportional to 99,197.38 and 141,795.75 is: 202,687.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,197.38 : 141,795.75 = 141,795.75 : x
  2. Step 2: Convert to fraction form
    99,197.38/141,795.75 = 141,795.75/x
  3. Step 3: Cross multiply
    99,197.38x = 141,795.75 × 141,795.75
  4. Step 4: Simplify right side
    99,197.38x = 20,106,034,718.06
  5. Step 5: Solve for x
    x = 20,106,034,718.06/99,197.38
  6. Step 6: Final answer
    x = 202,687.17

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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.