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Finding the Third Proportional to 101,436,074 and 215,989,290

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Solution

The third proportional to 101,436,074 and 215,989,290 is: 459,909,098.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,436,074 : 215,989,290 = 215,989,290 : x
  2. Step 2: Convert to fraction form
    101,436,074/215,989,290 = 215,989,290/x
  3. Step 3: Cross multiply
    101,436,074x = 215,989,290 × 215,989,290
  4. Step 4: Simplify right side
    101,436,074x = 46,651,373,394,704,096
  5. Step 5: Solve for x
    x = 46,651,373,394,704,096/101,436,074
  6. Step 6: Final answer
    x = 459,909,098.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.