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Finding the Third Proportional to 96,838,503 and 207,492,270

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Solution

The third proportional to 96,838,503 and 207,492,270 is: 444,585,993.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,838,503 : 207,492,270 = 207,492,270 : x
  2. Step 2: Convert to fraction form
    96,838,503/207,492,270 = 207,492,270/x
  3. Step 3: Cross multiply
    96,838,503x = 207,492,270 × 207,492,270
  4. Step 4: Simplify right side
    96,838,503x = 43,053,042,109,752,896
  5. Step 5: Solve for x
    x = 43,053,042,109,752,896/96,838,503
  6. Step 6: Final answer
    x = 444,585,993.96

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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.