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Finding the Third Proportional to 84,780.42 and 186,202.55

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Solution

The third proportional to 84,780.42 and 186,202.55 is: 408,955.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,780.42 : 186,202.55 = 186,202.55 : x
  2. Step 2: Convert to fraction form
    84,780.42/186,202.55 = 186,202.55/x
  3. Step 3: Cross multiply
    84,780.42x = 186,202.55 × 186,202.55
  4. Step 4: Simplify right side
    84,780.42x = 34,671,388,462.74
  5. Step 5: Solve for x
    x = 34,671,388,462.74/84,780.42
  6. Step 6: Final answer
    x = 408,955.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.