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Finding the Third Proportional to 268,234,038 and 586,681,164

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Solution

The third proportional to 268,234,038 and 586,681,164 is: 1,283,188,333.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,234,038 : 586,681,164 = 586,681,164 : x
  2. Step 2: Convert to fraction form
    268,234,038/586,681,164 = 586,681,164/x
  3. Step 3: Cross multiply
    268,234,038x = 586,681,164 × 586,681,164
  4. Step 4: Simplify right side
    268,234,038x = 344,194,788,192,394,880
  5. Step 5: Solve for x
    x = 344,194,788,192,394,880/268,234,038
  6. Step 6: Final answer
    x = 1,283,188,333.44

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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.