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Finding the Third Proportional to 121,086,242 and 181,452,243

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Solution

The third proportional to 121,086,242 and 181,452,243 is: 271,912,943.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,086,242 : 181,452,243 = 181,452,243 : x
  2. Step 2: Convert to fraction form
    121,086,242/181,452,243 = 181,452,243/x
  3. Step 3: Cross multiply
    121,086,242x = 181,452,243 × 181,452,243
  4. Step 4: Simplify right side
    121,086,242x = 32,924,916,489,731,048
  5. Step 5: Solve for x
    x = 32,924,916,489,731,048/121,086,242
  6. Step 6: Final answer
    x = 271,912,943.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.