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Finding the Third Proportional to 193,972,061 and 423,498,019

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Solution

The third proportional to 193,972,061 and 423,498,019 is: 924,620,644.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,972,061 : 423,498,019 = 423,498,019 : x
  2. Step 2: Convert to fraction form
    193,972,061/423,498,019 = 423,498,019/x
  3. Step 3: Cross multiply
    193,972,061x = 423,498,019 × 423,498,019
  4. Step 4: Simplify right side
    193,972,061x = 179,350,572,096,924,352
  5. Step 5: Solve for x
    x = 179,350,572,096,924,352/193,972,061
  6. Step 6: Final answer
    x = 924,620,644.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.