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Finding the Third Proportional to 68,133,680 and 102,175,500

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Solution

The third proportional to 68,133,680 and 102,175,500 is: 153,225,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,133,680 : 102,175,500 = 102,175,500 : x
  2. Step 2: Convert to fraction form
    68,133,680/102,175,500 = 102,175,500/x
  3. Step 3: Cross multiply
    68,133,680x = 102,175,500 × 102,175,500
  4. Step 4: Simplify right side
    68,133,680x = 10,439,832,800,250,000
  5. Step 5: Solve for x
    x = 10,439,832,800,250,000/68,133,680
  6. Step 6: Final answer
    x = 153,225,729.19

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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.