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Finding the Third Proportional to 68,156,372 and 146,705,368

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Solution

The third proportional to 68,156,372 and 146,705,368 is: 315,780,672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,156,372 : 146,705,368 = 146,705,368 : x
  2. Step 2: Convert to fraction form
    68,156,372/146,705,368 = 146,705,368/x
  3. Step 3: Cross multiply
    68,156,372x = 146,705,368 × 146,705,368
  4. Step 4: Simplify right side
    68,156,372x = 21,522,465,000,015,424
  5. Step 5: Solve for x
    x = 21,522,465,000,015,424/68,156,372
  6. Step 6: Final answer
    x = 315,780,672.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.