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Finding the Third Proportional to 136,608,414 and 209,847,233

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Solution

The third proportional to 136,608,414 and 209,847,233 is: 322,351,017.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,608,414 : 209,847,233 = 209,847,233 : x
  2. Step 2: Convert to fraction form
    136,608,414/209,847,233 = 209,847,233/x
  3. Step 3: Cross multiply
    136,608,414x = 209,847,233 × 209,847,233
  4. Step 4: Simplify right side
    136,608,414x = 44,035,861,197,756,288
  5. Step 5: Solve for x
    x = 44,035,861,197,756,288/136,608,414
  6. Step 6: Final answer
    x = 322,351,017.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.