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Finding the Third Proportional to 118,817,286.75 and 181,758,253.50

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Solution

The third proportional to 118,817,286.75 and 181,758,253.50 is: 278,040,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,817,286.75 : 181,758,253.50 = 181,758,253.50 : x
  2. Step 2: Convert to fraction form
    118,817,286.75/181,758,253.50 = 181,758,253.50/x
  3. Step 3: Cross multiply
    118,817,286.75x = 181,758,253.50 × 181,758,253.50
  4. Step 4: Simplify right side
    118,817,286.75x = 33,036,062,715,370,264
  5. Step 5: Solve for x
    x = 33,036,062,715,370,264/118,817,286.75
  6. Step 6: Final answer
    x = 278,040,877.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.