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Finding the Third Proportional to 136,858,764 and 283,418,520

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Solution

The third proportional to 136,858,764 and 283,418,520 is: 586,926,661.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,858,764 : 283,418,520 = 283,418,520 : x
  2. Step 2: Convert to fraction form
    136,858,764/283,418,520 = 283,418,520/x
  3. Step 3: Cross multiply
    136,858,764x = 283,418,520 × 283,418,520
  4. Step 4: Simplify right side
    136,858,764x = 80,326,057,478,990,400
  5. Step 5: Solve for x
    x = 80,326,057,478,990,400/136,858,764
  6. Step 6: Final answer
    x = 586,926,661.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.