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Finding the Third Proportional to 95,529.38 and 202,437.56

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Solution

The third proportional to 95,529.38 and 202,437.56 is: 428,988.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,529.38 : 202,437.56 = 202,437.56 : x
  2. Step 2: Convert to fraction form
    95,529.38/202,437.56 = 202,437.56/x
  3. Step 3: Cross multiply
    95,529.38x = 202,437.56 × 202,437.56
  4. Step 4: Simplify right side
    95,529.38x = 40,980,966,710.94
  5. Step 5: Solve for x
    x = 40,980,966,710.94/95,529.38
  6. Step 6: Final answer
    x = 428,988.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.