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Finding the Third Proportional to 135,454,470 and 296,787,164

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Solution

The third proportional to 135,454,470 and 296,787,164 is: 650,274,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,454,470 : 296,787,164 = 296,787,164 : x
  2. Step 2: Convert to fraction form
    135,454,470/296,787,164 = 296,787,164/x
  3. Step 3: Cross multiply
    135,454,470x = 296,787,164 × 296,787,164
  4. Step 4: Simplify right side
    135,454,470x = 88,082,620,715,162,896
  5. Step 5: Solve for x
    x = 88,082,620,715,162,896/135,454,470
  6. Step 6: Final answer
    x = 650,274,743.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.