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Finding the Third Proportional to 98,846,494 and 205,874,374

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Solution

The third proportional to 98,846,494 and 205,874,374 is: 428,788,681.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,846,494 : 205,874,374 = 205,874,374 : x
  2. Step 2: Convert to fraction form
    98,846,494/205,874,374 = 205,874,374/x
  3. Step 3: Cross multiply
    98,846,494x = 205,874,374 × 205,874,374
  4. Step 4: Simplify right side
    98,846,494x = 42,384,257,869,891,872
  5. Step 5: Solve for x
    x = 42,384,257,869,891,872/98,846,494
  6. Step 6: Final answer
    x = 428,788,681.87

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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.