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Finding the Third Proportional to 68,133,876 and 102,175,758

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Solution

The third proportional to 68,133,876 and 102,175,758 is: 153,226,062.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,133,876 : 102,175,758 = 102,175,758 : x
  2. Step 2: Convert to fraction form
    68,133,876/102,175,758 = 102,175,758/x
  3. Step 3: Cross multiply
    68,133,876x = 102,175,758 × 102,175,758
  4. Step 4: Simplify right side
    68,133,876x = 10,439,885,522,874,564
  5. Step 5: Solve for x
    x = 10,439,885,522,874,564/68,133,876
  6. Step 6: Final answer
    x = 153,226,062.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.