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Finding the Third Proportional to 154,690,510 and 223,709,451

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Solution

The third proportional to 154,690,510 and 223,709,451 is: 323,522,874.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,690,510 : 223,709,451 = 223,709,451 : x
  2. Step 2: Convert to fraction form
    154,690,510/223,709,451 = 223,709,451/x
  3. Step 3: Cross multiply
    154,690,510x = 223,709,451 × 223,709,451
  4. Step 4: Simplify right side
    154,690,510x = 50,045,918,466,721,400
  5. Step 5: Solve for x
    x = 50,045,918,466,721,400/154,690,510
  6. Step 6: Final answer
    x = 323,522,874.59

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.