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Finding the Third Proportional to 114,854,559.75 and 176,538,895.88

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Solution

The third proportional to 114,854,559.75 and 176,538,895.88 is: 271,351,714.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,854,559.75 : 176,538,895.88 = 176,538,895.88 : x
  2. Step 2: Convert to fraction form
    114,854,559.75/176,538,895.88 = 176,538,895.88/x
  3. Step 3: Cross multiply
    114,854,559.75x = 176,538,895.88 × 176,538,895.88
  4. Step 4: Simplify right side
    114,854,559.75x = 31,165,981,756,764,092
  5. Step 5: Solve for x
    x = 31,165,981,756,764,092/114,854,559.75
  6. Step 6: Final answer
    x = 271,351,714.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.