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Finding the Third Proportional to 96,094,042 and 207,304,616

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Solution

The third proportional to 96,094,042 and 207,304,616 is: 447,220,274.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,094,042 : 207,304,616 = 207,304,616 : x
  2. Step 2: Convert to fraction form
    96,094,042/207,304,616 = 207,304,616/x
  3. Step 3: Cross multiply
    96,094,042x = 207,304,616 × 207,304,616
  4. Step 4: Simplify right side
    96,094,042x = 42,975,203,814,907,456
  5. Step 5: Solve for x
    x = 42,975,203,814,907,456/96,094,042
  6. Step 6: Final answer
    x = 447,220,274.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.