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Finding the Third Proportional to 71,899,946 and 157,251,508

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Solution

The third proportional to 71,899,946 and 157,251,508 is: 343,922,883.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,899,946 : 157,251,508 = 157,251,508 : x
  2. Step 2: Convert to fraction form
    71,899,946/157,251,508 = 157,251,508/x
  3. Step 3: Cross multiply
    71,899,946x = 157,251,508 × 157,251,508
  4. Step 4: Simplify right side
    71,899,946x = 24,728,036,768,274,064
  5. Step 5: Solve for x
    x = 24,728,036,768,274,064/71,899,946
  6. Step 6: Final answer
    x = 343,922,883.73

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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.