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Finding the Third Proportional to 198,941,274 and 428,115,644

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Solution

The third proportional to 198,941,274 and 428,115,644 is: 921,292,002.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,941,274 : 428,115,644 = 428,115,644 : x
  2. Step 2: Convert to fraction form
    198,941,274/428,115,644 = 428,115,644/x
  3. Step 3: Cross multiply
    198,941,274x = 428,115,644 × 428,115,644
  4. Step 4: Simplify right side
    198,941,274x = 183,283,004,637,534,720
  5. Step 5: Solve for x
    x = 183,283,004,637,534,720/198,941,274
  6. Step 6: Final answer
    x = 921,292,002.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.