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Finding the Third Proportional to 226,376,498 and 485,027,284

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Solution

The third proportional to 226,376,498 and 485,027,284 is: 1,039,204,459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,376,498 : 485,027,284 = 485,027,284 : x
  2. Step 2: Convert to fraction form
    226,376,498/485,027,284 = 485,027,284/x
  3. Step 3: Cross multiply
    226,376,498x = 485,027,284 × 485,027,284
  4. Step 4: Simplify right side
    226,376,498x = 235,251,466,224,416,640
  5. Step 5: Solve for x
    x = 235,251,466,224,416,640/226,376,498
  6. Step 6: Final answer
    x = 1,039,204,459.40

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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.