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Finding the Third Proportional to 92,053,356 and 198,453,328

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Solution

The third proportional to 92,053,356 and 198,453,328 is: 427,835,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,053,356 : 198,453,328 = 198,453,328 : x
  2. Step 2: Convert to fraction form
    92,053,356/198,453,328 = 198,453,328/x
  3. Step 3: Cross multiply
    92,053,356x = 198,453,328 × 198,453,328
  4. Step 4: Simplify right side
    92,053,356x = 39,383,723,394,275,584
  5. Step 5: Solve for x
    x = 39,383,723,394,275,584/92,053,356
  6. Step 6: Final answer
    x = 427,835,823.76

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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.