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Finding the Third Proportional to 186,715,793.25 and 274,020,016.50

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Solution

The third proportional to 186,715,793.25 and 274,020,016.50 is: 402,145,786.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,715,793.25 : 274,020,016.50 = 274,020,016.50 : x
  2. Step 2: Convert to fraction form
    186,715,793.25/274,020,016.50 = 274,020,016.50/x
  3. Step 3: Cross multiply
    186,715,793.25x = 274,020,016.50 × 274,020,016.50
  4. Step 4: Simplify right side
    186,715,793.25x = 75,086,969,442,660,272
  5. Step 5: Solve for x
    x = 75,086,969,442,660,272/186,715,793.25
  6. Step 6: Final answer
    x = 402,145,786.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.