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Finding the Third Proportional to 181,489,376 and 278,962,176

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Solution

The third proportional to 181,489,376 and 278,962,176 is: 428,784,854.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,489,376 : 278,962,176 = 278,962,176 : x
  2. Step 2: Convert to fraction form
    181,489,376/278,962,176 = 278,962,176/x
  3. Step 3: Cross multiply
    181,489,376x = 278,962,176 × 278,962,176
  4. Step 4: Simplify right side
    181,489,376x = 77,819,895,638,654,976
  5. Step 5: Solve for x
    x = 77,819,895,638,654,976/181,489,376
  6. Step 6: Final answer
    x = 428,784,854.26

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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.