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Finding the Third Proportional to 119,898,304 and 282,942,112

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Solution

The third proportional to 119,898,304 and 282,942,112 is: 667,701,177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,898,304 : 282,942,112 = 282,942,112 : x
  2. Step 2: Convert to fraction form
    119,898,304/282,942,112 = 282,942,112/x
  3. Step 3: Cross multiply
    119,898,304x = 282,942,112 × 282,942,112
  4. Step 4: Simplify right side
    119,898,304x = 80,056,238,743,020,544
  5. Step 5: Solve for x
    x = 80,056,238,743,020,544/119,898,304
  6. Step 6: Final answer
    x = 667,701,177.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.