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Finding the Third Proportional to 66,986,002 and 144,236,150

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Solution

The third proportional to 66,986,002 and 144,236,150 is: 310,573,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,986,002 : 144,236,150 = 144,236,150 : x
  2. Step 2: Convert to fraction form
    66,986,002/144,236,150 = 144,236,150/x
  3. Step 3: Cross multiply
    66,986,002x = 144,236,150 × 144,236,150
  4. Step 4: Simplify right side
    66,986,002x = 20,804,066,966,822,500
  5. Step 5: Solve for x
    x = 20,804,066,966,822,500/66,986,002
  6. Step 6: Final answer
    x = 310,573,348.84

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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.