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Finding the Third Proportional to 96,094,046 and 207,304,624

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Solution

The third proportional to 96,094,046 and 207,304,624 is: 447,220,290.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,094,046 : 207,304,624 = 207,304,624 : x
  2. Step 2: Convert to fraction form
    96,094,046/207,304,624 = 207,304,624/x
  3. Step 3: Cross multiply
    96,094,046x = 207,304,624 × 207,304,624
  4. Step 4: Simplify right side
    96,094,046x = 42,975,207,131,781,376
  5. Step 5: Solve for x
    x = 42,975,207,131,781,376/96,094,046
  6. Step 6: Final answer
    x = 447,220,290.13

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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.