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Finding the Third Proportional to 88,102,416 and 188,959,416

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Solution

The third proportional to 88,102,416 and 188,959,416 is: 405,274,480.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,102,416 : 188,959,416 = 188,959,416 : x
  2. Step 2: Convert to fraction form
    88,102,416/188,959,416 = 188,959,416/x
  3. Step 3: Cross multiply
    88,102,416x = 188,959,416 × 188,959,416
  4. Step 4: Simplify right side
    88,102,416x = 35,705,660,895,061,056
  5. Step 5: Solve for x
    x = 35,705,660,895,061,056/88,102,416
  6. Step 6: Final answer
    x = 405,274,480.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.