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Finding the Third Proportional to 106,489,860 and 152,176,474

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Solution

The third proportional to 106,489,860 and 152,176,474 is: 217,463,702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,489,860 : 152,176,474 = 152,176,474 : x
  2. Step 2: Convert to fraction form
    106,489,860/152,176,474 = 152,176,474/x
  3. Step 3: Cross multiply
    106,489,860x = 152,176,474 × 152,176,474
  4. Step 4: Simplify right side
    106,489,860x = 23,157,679,239,072,676
  5. Step 5: Solve for x
    x = 23,157,679,239,072,676/106,489,860
  6. Step 6: Final answer
    x = 217,463,702.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.