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Finding the Third Proportional to 85,870.50 and 186,034.97

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Solution

The third proportional to 85,870.50 and 186,034.97 is: 403,037.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,870.50 : 186,034.97 = 186,034.97 : x
  2. Step 2: Convert to fraction form
    85,870.50/186,034.97 = 186,034.97/x
  3. Step 3: Cross multiply
    85,870.50x = 186,034.97 × 186,034.97
  4. Step 4: Simplify right side
    85,870.50x = 34,609,009,597.81
  5. Step 5: Solve for x
    x = 34,609,009,597.81/85,870.50
  6. Step 6: Final answer
    x = 403,037.24

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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.