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Finding the Third Proportional to 68,440,466 and 142,542,346

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Solution

The third proportional to 68,440,466 and 142,542,346 is: 296,875,833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,440,466 : 142,542,346 = 142,542,346 : x
  2. Step 2: Convert to fraction form
    68,440,466/142,542,346 = 142,542,346/x
  3. Step 3: Cross multiply
    68,440,466x = 142,542,346 × 142,542,346
  4. Step 4: Simplify right side
    68,440,466x = 20,318,320,403,183,716
  5. Step 5: Solve for x
    x = 20,318,320,403,183,716/68,440,466
  6. Step 6: Final answer
    x = 296,875,833.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.