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Finding the Third Proportional to 47,175,132 and 100,908,375

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Solution

The third proportional to 47,175,132 and 100,908,375 is: 215,844,656.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,175,132 : 100,908,375 = 100,908,375 : x
  2. Step 2: Convert to fraction form
    47,175,132/100,908,375 = 100,908,375/x
  3. Step 3: Cross multiply
    47,175,132x = 100,908,375 × 100,908,375
  4. Step 4: Simplify right side
    47,175,132x = 10,182,500,145,140,624
  5. Step 5: Solve for x
    x = 10,182,500,145,140,624/47,175,132
  6. Step 6: Final answer
    x = 215,844,656.15

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