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Finding the Third Proportional to 71,776,304 and 157,448,800

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Solution

The third proportional to 71,776,304 and 157,448,800 is: 345,380,344.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,776,304 : 157,448,800 = 157,448,800 : x
  2. Step 2: Convert to fraction form
    71,776,304/157,448,800 = 157,448,800/x
  3. Step 3: Cross multiply
    71,776,304x = 157,448,800 × 157,448,800
  4. Step 4: Simplify right side
    71,776,304x = 24,790,124,621,440,000
  5. Step 5: Solve for x
    x = 24,790,124,621,440,000/71,776,304
  6. Step 6: Final answer
    x = 345,380,344.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.