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Finding the Third Proportional to 85,014.38 and 186,187.88

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Solution

The third proportional to 85,014.38 and 186,187.88 is: 407,765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,014.38 : 186,187.88 = 186,187.88 : x
  2. Step 2: Convert to fraction form
    85,014.38/186,187.88 = 186,187.88/x
  3. Step 3: Cross multiply
    85,014.38x = 186,187.88 × 186,187.88
  4. Step 4: Simplify right side
    85,014.38x = 34,665,924,797.02
  5. Step 5: Solve for x
    x = 34,665,924,797.02/85,014.38
  6. Step 6: Final answer
    x = 407,765.45

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1.5x scale

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.