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Finding the Third Proportional to 85,452.47 and 187,013.81

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Solution

The third proportional to 85,452.47 and 187,013.81 is: 409,282.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,452.47 : 187,013.81 = 187,013.81 : x
  2. Step 2: Convert to fraction form
    85,452.47/187,013.81 = 187,013.81/x
  3. Step 3: Cross multiply
    85,452.47x = 187,013.81 × 187,013.81
  4. Step 4: Simplify right side
    85,452.47x = 34,974,166,065.79
  5. Step 5: Solve for x
    x = 34,974,166,065.79/85,452.47
  6. Step 6: Final answer
    x = 409,282.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.