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Finding the Third Proportional to 124,957,474,008 and 190,359,800,748

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Solution

The third proportional to 124,957,474,008 and 190,359,800,748 is: 289,993,488,012.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,957,474,008 : 190,359,800,748 = 190,359,800,748 : x
  2. Step 2: Convert to fraction form
    124,957,474,008/190,359,800,748 = 190,359,800,748/x
  3. Step 3: Cross multiply
    124,957,474,008x = 190,359,800,748 × 190,359,800,748
  4. Step 4: Simplify right side
    124,957,474,008x = 36,236,853,740,818,262,917,120
  5. Step 5: Solve for x
    x = 36,236,853,740,818,262,917,120/124,957,474,008
  6. Step 6: Final answer
    x = 289,993,488,012.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.