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Finding the Third Proportional to 268,234,042 and 586,681,172

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Solution

The third proportional to 268,234,042 and 586,681,172 is: 1,283,188,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,234,042 : 586,681,172 = 586,681,172 : x
  2. Step 2: Convert to fraction form
    268,234,042/586,681,172 = 586,681,172/x
  3. Step 3: Cross multiply
    268,234,042x = 586,681,172 × 586,681,172
  4. Step 4: Simplify right side
    268,234,042x = 344,194,797,579,293,568
  5. Step 5: Solve for x
    x = 344,194,797,579,293,568/268,234,042
  6. Step 6: Final answer
    x = 1,283,188,349.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.