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Finding the Third Proportional to 83,588,600 and 177,291,208

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Solution

The third proportional to 83,588,600 and 177,291,208 is: 376,034,201.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,588,600 : 177,291,208 = 177,291,208 : x
  2. Step 2: Convert to fraction form
    83,588,600/177,291,208 = 177,291,208/x
  3. Step 3: Cross multiply
    83,588,600x = 177,291,208 × 177,291,208
  4. Step 4: Simplify right side
    83,588,600x = 31,432,172,434,099,264
  5. Step 5: Solve for x
    x = 31,432,172,434,099,264/83,588,600
  6. Step 6: Final answer
    x = 376,034,201.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.