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Finding the Third Proportional to 238,963,682 and 369,057,942

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Solution

The third proportional to 238,963,682 and 369,057,942 is: 569,976,840.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,963,682 : 369,057,942 = 369,057,942 : x
  2. Step 2: Convert to fraction form
    238,963,682/369,057,942 = 369,057,942/x
  3. Step 3: Cross multiply
    238,963,682x = 369,057,942 × 369,057,942
  4. Step 4: Simplify right side
    238,963,682x = 136,203,764,553,275,360
  5. Step 5: Solve for x
    x = 136,203,764,553,275,360/238,963,682
  6. Step 6: Final answer
    x = 569,976,840.89

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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.