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Finding the Third Proportional to 121,341,194 and 171,694,071

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Solution

The third proportional to 121,341,194 and 171,694,071 is: 242,941,848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,341,194 : 171,694,071 = 171,694,071 : x
  2. Step 2: Convert to fraction form
    121,341,194/171,694,071 = 171,694,071/x
  3. Step 3: Cross multiply
    121,341,194x = 171,694,071 × 171,694,071
  4. Step 4: Simplify right side
    121,341,194x = 29,478,854,016,553,040
  5. Step 5: Solve for x
    x = 29,478,854,016,553,040/121,341,194
  6. Step 6: Final answer
    x = 242,941,848.89

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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.