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Finding the Third Proportional to 267,543,157.50 and 587,698,972.50

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Solution

The third proportional to 267,543,157.50 and 587,698,972.50 is: 1,290,969,597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,543,157.50 : 587,698,972.50 = 587,698,972.50 : x
  2. Step 2: Convert to fraction form
    267,543,157.50/587,698,972.50 = 587,698,972.50/x
  3. Step 3: Cross multiply
    267,543,157.50x = 587,698,972.50 × 587,698,972.50
  4. Step 4: Simplify right side
    267,543,157.50x = 345,390,082,277,555,776
  5. Step 5: Solve for x
    x = 345,390,082,277,555,776/267,543,157.50
  6. Step 6: Final answer
    x = 1,290,969,597.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.