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Finding the Third Proportional to 85,455.56 and 185,491.13

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Solution

The third proportional to 85,455.56 and 185,491.13 is: 402,629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,455.56 : 185,491.13 = 185,491.13 : x
  2. Step 2: Convert to fraction form
    85,455.56/185,491.13 = 185,491.13/x
  3. Step 3: Cross multiply
    85,455.56x = 185,491.13 × 185,491.13
  4. Step 4: Simplify right side
    85,455.56x = 34,406,957,453.77
  5. Step 5: Solve for x
    x = 34,406,957,453.77/85,455.56
  6. Step 6: Final answer
    x = 402,629.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.