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Finding the Third Proportional to 144,117,584 and 223,069,800

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Solution

The third proportional to 144,117,584 and 223,069,800 is: 345,274,561.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,117,584 : 223,069,800 = 223,069,800 : x
  2. Step 2: Convert to fraction form
    144,117,584/223,069,800 = 223,069,800/x
  3. Step 3: Cross multiply
    144,117,584x = 223,069,800 × 223,069,800
  4. Step 4: Simplify right side
    144,117,584x = 49,760,135,672,040,000
  5. Step 5: Solve for x
    x = 49,760,135,672,040,000/144,117,584
  6. Step 6: Final answer
    x = 345,274,561.86

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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.