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Finding the Third Proportional to 121,438,984 and 177,603,966

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Solution

The third proportional to 121,438,984 and 177,603,966 is: 259,744,998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,438,984 : 177,603,966 = 177,603,966 : x
  2. Step 2: Convert to fraction form
    121,438,984/177,603,966 = 177,603,966/x
  3. Step 3: Cross multiply
    121,438,984x = 177,603,966 × 177,603,966
  4. Step 4: Simplify right side
    121,438,984x = 31,543,168,738,929,156
  5. Step 5: Solve for x
    x = 31,543,168,738,929,156/121,438,984
  6. Step 6: Final answer
    x = 259,744,998.68

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.