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Finding the Third Proportional to 67,257,002 and 144,829,160

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Solution

The third proportional to 67,257,002 and 144,829,160 is: 311,870,659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,257,002 : 144,829,160 = 144,829,160 : x
  2. Step 2: Convert to fraction form
    67,257,002/144,829,160 = 144,829,160/x
  3. Step 3: Cross multiply
    67,257,002x = 144,829,160 × 144,829,160
  4. Step 4: Simplify right side
    67,257,002x = 20,975,485,586,305,600
  5. Step 5: Solve for x
    x = 20,975,485,586,305,600/67,257,002
  6. Step 6: Final answer
    x = 311,870,659.75

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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.