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Finding the Third Proportional to 81,419,416 and 175,593,056

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Solution

The third proportional to 81,419,416 and 175,593,056 is: 378,692,489.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,419,416 : 175,593,056 = 175,593,056 : x
  2. Step 2: Convert to fraction form
    81,419,416/175,593,056 = 175,593,056/x
  3. Step 3: Cross multiply
    81,419,416x = 175,593,056 × 175,593,056
  4. Step 4: Simplify right side
    81,419,416x = 30,832,921,315,419,136
  5. Step 5: Solve for x
    x = 30,832,921,315,419,136/81,419,416
  6. Step 6: Final answer
    x = 378,692,489.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.