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Finding the Third Proportional to 85,466,154 and 173,952,738

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Solution

The third proportional to 85,466,154 and 173,952,738 is: 354,053,079.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,466,154 : 173,952,738 = 173,952,738 : x
  2. Step 2: Convert to fraction form
    85,466,154/173,952,738 = 173,952,738/x
  3. Step 3: Cross multiply
    85,466,154x = 173,952,738 × 173,952,738
  4. Step 4: Simplify right side
    85,466,154x = 30,259,555,057,696,644
  5. Step 5: Solve for x
    x = 30,259,555,057,696,644/85,466,154
  6. Step 6: Final answer
    x = 354,053,079.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.