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Finding the Third Proportional to 65,060,169 and 136,829,757

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Solution

The third proportional to 65,060,169 and 136,829,757 is: 287,770,270.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,060,169 : 136,829,757 = 136,829,757 : x
  2. Step 2: Convert to fraction form
    65,060,169/136,829,757 = 136,829,757/x
  3. Step 3: Cross multiply
    65,060,169x = 136,829,757 × 136,829,757
  4. Step 4: Simplify right side
    65,060,169x = 18,722,382,400,679,048
  5. Step 5: Solve for x
    x = 18,722,382,400,679,048/65,060,169
  6. Step 6: Final answer
    x = 287,770,270.02

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.