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Finding the Third Proportional to 101,304,594 and 206,186,310

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Solution

The third proportional to 101,304,594 and 206,186,310 is: 419,653,174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,304,594 : 206,186,310 = 206,186,310 : x
  2. Step 2: Convert to fraction form
    101,304,594/206,186,310 = 206,186,310/x
  3. Step 3: Cross multiply
    101,304,594x = 206,186,310 × 206,186,310
  4. Step 4: Simplify right side
    101,304,594x = 42,512,794,431,416,096
  5. Step 5: Solve for x
    x = 42,512,794,431,416,096/101,304,594
  6. Step 6: Final answer
    x = 419,653,174.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.