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Finding the Third Proportional to 82,122,919 and 127,116,201

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Solution

The third proportional to 82,122,919 and 127,116,201 is: 196,760,280.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,122,919 : 127,116,201 = 127,116,201 : x
  2. Step 2: Convert to fraction form
    82,122,919/127,116,201 = 127,116,201/x
  3. Step 3: Cross multiply
    82,122,919x = 127,116,201 × 127,116,201
  4. Step 4: Simplify right side
    82,122,919x = 16,158,528,556,672,400
  5. Step 5: Solve for x
    x = 16,158,528,556,672,400/82,122,919
  6. Step 6: Final answer
    x = 196,760,280.24

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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.