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Finding the Third Proportional to 131,981,414.50 and 199,670,825.50

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Solution

The third proportional to 131,981,414.50 and 199,670,825.50 is: 302,076,157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,981,414.50 : 199,670,825.50 = 199,670,825.50 : x
  2. Step 2: Convert to fraction form
    131,981,414.50/199,670,825.50 = 199,670,825.50/x
  3. Step 3: Cross multiply
    131,981,414.50x = 199,670,825.50 × 199,670,825.50
  4. Step 4: Simplify right side
    131,981,414.50x = 39,868,438,555,851,448
  5. Step 5: Solve for x
    x = 39,868,438,555,851,448/131,981,414.50
  6. Step 6: Final answer
    x = 302,076,157.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.