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Finding the Third Proportional to 57,549,698 and 120,419,904

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Solution

The third proportional to 57,549,698 and 120,419,904 is: 251,972,708.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,549,698 : 120,419,904 = 120,419,904 : x
  2. Step 2: Convert to fraction form
    57,549,698/120,419,904 = 120,419,904/x
  3. Step 3: Cross multiply
    57,549,698x = 120,419,904 × 120,419,904
  4. Step 4: Simplify right side
    57,549,698x = 14,500,953,279,369,216
  5. Step 5: Solve for x
    x = 14,500,953,279,369,216/57,549,698
  6. Step 6: Final answer
    x = 251,972,708.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.