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Finding the Third Proportional to 96,838,500 and 207,492,264

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Solution

The third proportional to 96,838,500 and 207,492,264 is: 444,585,982.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,838,500 : 207,492,264 = 207,492,264 : x
  2. Step 2: Convert to fraction form
    96,838,500/207,492,264 = 207,492,264/x
  3. Step 3: Cross multiply
    96,838,500x = 207,492,264 × 207,492,264
  4. Step 4: Simplify right side
    96,838,500x = 43,053,039,619,845,696
  5. Step 5: Solve for x
    x = 43,053,039,619,845,696/96,838,500
  6. Step 6: Final answer
    x = 444,585,982.02

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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.