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Finding the Third Proportional to 259,005,400 and 554,933,516

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Solution

The third proportional to 259,005,400 and 554,933,516 is: 1,188,976,010.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,005,400 : 554,933,516 = 554,933,516 : x
  2. Step 2: Convert to fraction form
    259,005,400/554,933,516 = 554,933,516/x
  3. Step 3: Cross multiply
    259,005,400x = 554,933,516 × 554,933,516
  4. Step 4: Simplify right side
    259,005,400x = 307,951,207,180,122,240
  5. Step 5: Solve for x
    x = 307,951,207,180,122,240/259,005,400
  6. Step 6: Final answer
    x = 1,188,976,010.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.