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Finding the Third Proportional to 71,899,948 and 157,251,512

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Solution

The third proportional to 71,899,948 and 157,251,512 is: 343,922,891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,899,948 : 157,251,512 = 157,251,512 : x
  2. Step 2: Convert to fraction form
    71,899,948/157,251,512 = 157,251,512/x
  3. Step 3: Cross multiply
    71,899,948x = 157,251,512 × 157,251,512
  4. Step 4: Simplify right side
    71,899,948x = 24,728,038,026,286,144
  5. Step 5: Solve for x
    x = 24,728,038,026,286,144/71,899,948
  6. Step 6: Final answer
    x = 343,922,891.66

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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.