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Finding the Third Proportional to 85,870.13 and 186,036.75

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Solution

The third proportional to 85,870.13 and 186,036.75 is: 403,046.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,870.13 : 186,036.75 = 186,036.75 : x
  2. Step 2: Convert to fraction form
    85,870.13/186,036.75 = 186,036.75/x
  3. Step 3: Cross multiply
    85,870.13x = 186,036.75 × 186,036.75
  4. Step 4: Simplify right side
    85,870.13x = 34,609,672,350.56
  5. Step 5: Solve for x
    x = 34,609,672,350.56/85,870.13
  6. Step 6: Final answer
    x = 403,046.72

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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.