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Finding the Third Proportional to 85,055.93 and 186,450.29

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Solution

The third proportional to 85,055.93 and 186,450.29 is: 408,715.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,055.93 : 186,450.29 = 186,450.29 : x
  2. Step 2: Convert to fraction form
    85,055.93/186,450.29 = 186,450.29/x
  3. Step 3: Cross multiply
    85,055.93x = 186,450.29 × 186,450.29
  4. Step 4: Simplify right side
    85,055.93x = 34,763,711,748.13
  5. Step 5: Solve for x
    x = 34,763,711,748.13/85,055.93
  6. Step 6: Final answer
    x = 408,715.90

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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.