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Finding the Third Proportional to 117,926,976 and 255,170,400

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Solution

The third proportional to 117,926,976 and 255,170,400 is: 552,137,731.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,926,976 : 255,170,400 = 255,170,400 : x
  2. Step 2: Convert to fraction form
    117,926,976/255,170,400 = 255,170,400/x
  3. Step 3: Cross multiply
    117,926,976x = 255,170,400 × 255,170,400
  4. Step 4: Simplify right side
    117,926,976x = 65,111,933,036,160,000
  5. Step 5: Solve for x
    x = 65,111,933,036,160,000/117,926,976
  6. Step 6: Final answer
    x = 552,137,731.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.