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Finding the Third Proportional to 119,188,448 and 182,248,176

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Solution

The third proportional to 119,188,448 and 182,248,176 is: 278,671,282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,188,448 : 182,248,176 = 182,248,176 : x
  2. Step 2: Convert to fraction form
    119,188,448/182,248,176 = 182,248,176/x
  3. Step 3: Cross multiply
    119,188,448x = 182,248,176 × 182,248,176
  4. Step 4: Simplify right side
    119,188,448x = 33,214,397,655,326,976
  5. Step 5: Solve for x
    x = 33,214,397,655,326,976/119,188,448
  6. Step 6: Final answer
    x = 278,671,282.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.