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Finding the Third Proportional to 71,821,924 and 111,438,144

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Solution

The third proportional to 71,821,924 and 111,438,144 is: 172,906,255.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,821,924 : 111,438,144 = 111,438,144 : x
  2. Step 2: Convert to fraction form
    71,821,924/111,438,144 = 111,438,144/x
  3. Step 3: Cross multiply
    71,821,924x = 111,438,144 × 111,438,144
  4. Step 4: Simplify right side
    71,821,924x = 12,418,459,938,164,736
  5. Step 5: Solve for x
    x = 12,418,459,938,164,736/71,821,924
  6. Step 6: Final answer
    x = 172,906,255.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.