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Finding the Third Proportional to 118,908,082.50 and 261,199,567.50

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Solution

The third proportional to 118,908,082.50 and 261,199,567.50 is: 573,764,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,908,082.50 : 261,199,567.50 = 261,199,567.50 : x
  2. Step 2: Convert to fraction form
    118,908,082.50/261,199,567.50 = 261,199,567.50/x
  3. Step 3: Cross multiply
    118,908,082.50x = 261,199,567.50 × 261,199,567.50
  4. Step 4: Simplify right side
    118,908,082.50x = 68,225,214,062,187,056
  5. Step 5: Solve for x
    x = 68,225,214,062,187,056/118,908,082.50
  6. Step 6: Final answer
    x = 573,764,311.29

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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.