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Finding the Third Proportional to 238,963,686 and 369,057,948

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Solution

The third proportional to 238,963,686 and 369,057,948 is: 569,976,849.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,963,686 : 369,057,948 = 369,057,948 : x
  2. Step 2: Convert to fraction form
    238,963,686/369,057,948 = 369,057,948/x
  3. Step 3: Cross multiply
    238,963,686x = 369,057,948 × 369,057,948
  4. Step 4: Simplify right side
    238,963,686x = 136,203,768,981,970,704
  5. Step 5: Solve for x
    x = 136,203,768,981,970,704/238,963,686
  6. Step 6: Final answer
    x = 569,976,849.88

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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.