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Finding the Third Proportional to 96,838,508 and 207,492,280

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Solution

The third proportional to 96,838,508 and 207,492,280 is: 444,586,013.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,838,508 : 207,492,280 = 207,492,280 : x
  2. Step 2: Convert to fraction form
    96,838,508/207,492,280 = 207,492,280/x
  3. Step 3: Cross multiply
    96,838,508x = 207,492,280 × 207,492,280
  4. Step 4: Simplify right side
    96,838,508x = 43,053,046,259,598,400
  5. Step 5: Solve for x
    x = 43,053,046,259,598,400/96,838,508
  6. Step 6: Final answer
    x = 444,586,013.86

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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.