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Finding the Third Proportional to 273,241,306.50 and 422,630,188.50

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Solution

The third proportional to 273,241,306.50 and 422,630,188.50 is: 653,694,269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,241,306.50 : 422,630,188.50 = 422,630,188.50 : x
  2. Step 2: Convert to fraction form
    273,241,306.50/422,630,188.50 = 422,630,188.50/x
  3. Step 3: Cross multiply
    273,241,306.50x = 422,630,188.50 × 422,630,188.50
  4. Step 4: Simplify right side
    273,241,306.50x = 178,616,276,231,545,536
  5. Step 5: Solve for x
    x = 178,616,276,231,545,536/273,241,306.50
  6. Step 6: Final answer
    x = 653,694,269.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.