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Finding the Third Proportional to 241,447,675.50 and 523,006,773.75

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Solution

The third proportional to 241,447,675.50 and 523,006,773.75 is: 1,132,900,057.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,447,675.50 : 523,006,773.75 = 523,006,773.75 : x
  2. Step 2: Convert to fraction form
    241,447,675.50/523,006,773.75 = 523,006,773.75/x
  3. Step 3: Cross multiply
    241,447,675.50x = 523,006,773.75 × 523,006,773.75
  4. Step 4: Simplify right side
    241,447,675.50x = 273,536,085,388,383,680
  5. Step 5: Solve for x
    x = 273,536,085,388,383,680/241,447,675.50
  6. Step 6: Final answer
    x = 1,132,900,057.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.