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Finding the Third Proportional to 82,122,921 and 127,116,204

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Solution

The third proportional to 82,122,921 and 127,116,204 is: 196,760,284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,122,921 : 127,116,204 = 127,116,204 : x
  2. Step 2: Convert to fraction form
    82,122,921/127,116,204 = 127,116,204/x
  3. Step 3: Cross multiply
    82,122,921x = 127,116,204 × 127,116,204
  4. Step 4: Simplify right side
    82,122,921x = 16,158,529,319,369,616
  5. Step 5: Solve for x
    x = 16,158,529,319,369,616/82,122,921
  6. Step 6: Final answer
    x = 196,760,284.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.