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Finding the Third Proportional to 85,110.75 and 186,282.28

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Solution

The third proportional to 85,110.75 and 186,282.28 is: 407,716.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,110.75 : 186,282.28 = 186,282.28 : x
  2. Step 2: Convert to fraction form
    85,110.75/186,282.28 = 186,282.28/x
  3. Step 3: Cross multiply
    85,110.75x = 186,282.28 × 186,282.28
  4. Step 4: Simplify right side
    85,110.75x = 34,701,088,307.70
  5. Step 5: Solve for x
    x = 34,701,088,307.70/85,110.75
  6. Step 6: Final answer
    x = 407,716.87

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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.