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Finding the Third Proportional to 95,475.38 and 210,011.06

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Solution

The third proportional to 95,475.38 and 210,011.06 is: 461,947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,475.38 : 210,011.06 = 210,011.06 : x
  2. Step 2: Convert to fraction form
    95,475.38/210,011.06 = 210,011.06/x
  3. Step 3: Cross multiply
    95,475.38x = 210,011.06 × 210,011.06
  4. Step 4: Simplify right side
    95,475.38x = 44,104,646,372.38
  5. Step 5: Solve for x
    x = 44,104,646,372.38/95,475.38
  6. Step 6: Final answer
    x = 461,947.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.