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Finding the Third Proportional to 54,178,188 and 115,704,048

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Solution

The third proportional to 54,178,188 and 115,704,048 is: 247,099,934.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,178,188 : 115,704,048 = 115,704,048 : x
  2. Step 2: Convert to fraction form
    54,178,188/115,704,048 = 115,704,048/x
  3. Step 3: Cross multiply
    54,178,188x = 115,704,048 × 115,704,048
  4. Step 4: Simplify right side
    54,178,188x = 13,387,426,723,586,304
  5. Step 5: Solve for x
    x = 13,387,426,723,586,304/54,178,188
  6. Step 6: Final answer
    x = 247,099,934.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.