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Finding the Third Proportional to 193,809,672 and 297,898,857

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Solution

The third proportional to 193,809,672 and 297,898,857 is: 457,891,126.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,809,672 : 297,898,857 = 297,898,857 : x
  2. Step 2: Convert to fraction form
    193,809,672/297,898,857 = 297,898,857/x
  3. Step 3: Cross multiply
    193,809,672x = 297,898,857 × 297,898,857
  4. Step 4: Simplify right side
    193,809,672x = 88,743,729,001,906,448
  5. Step 5: Solve for x
    x = 88,743,729,001,906,448/193,809,672
  6. Step 6: Final answer
    x = 457,891,126.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.