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Finding the Third Proportional to 167,124,379,592.25 and 367,080,793,785

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Solution

The third proportional to 167,124,379,592.25 and 367,080,793,785 is: 806,275,598,417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,124,379,592.25 : 367,080,793,785 = 367,080,793,785 : x
  2. Step 2: Convert to fraction form
    167,124,379,592.25/367,080,793,785 = 367,080,793,785/x
  3. Step 3: Cross multiply
    167,124,379,592.25x = 367,080,793,785 × 367,080,793,785
  4. Step 4: Simplify right side
    167,124,379,592.25x = 134,748,309,165,825,692,008,448
  5. Step 5: Solve for x
    x = 134,748,309,165,825,692,008,448/167,124,379,592.25
  6. Step 6: Final answer
    x = 806,275,598,417.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.