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Finding the Third Proportional to 121,341,282 and 171,694,170

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Solution

The third proportional to 121,341,282 and 171,694,170 is: 242,941,952.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,341,282 : 171,694,170 = 171,694,170 : x
  2. Step 2: Convert to fraction form
    121,341,282/171,694,170 = 171,694,170/x
  3. Step 3: Cross multiply
    121,341,282x = 171,694,170 × 171,694,170
  4. Step 4: Simplify right side
    121,341,282x = 29,478,888,011,988,900
  5. Step 5: Solve for x
    x = 29,478,888,011,988,900/121,341,282
  6. Step 6: Final answer
    x = 242,941,952.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.