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Finding the Third Proportional to 85,164,266 and 127,604,720

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Solution

The third proportional to 85,164,266 and 127,604,720 is: 191,194,797.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,164,266 : 127,604,720 = 127,604,720 : x
  2. Step 2: Convert to fraction form
    85,164,266/127,604,720 = 127,604,720/x
  3. Step 3: Cross multiply
    85,164,266x = 127,604,720 × 127,604,720
  4. Step 4: Simplify right side
    85,164,266x = 16,282,964,566,278,400
  5. Step 5: Solve for x
    x = 16,282,964,566,278,400/85,164,266
  6. Step 6: Final answer
    x = 191,194,797.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.