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Finding the Third Proportional to 126,861,146 and 201,863,120

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Solution

The third proportional to 126,861,146 and 201,863,120 is: 321,207,245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,861,146 : 201,863,120 = 201,863,120 : x
  2. Step 2: Convert to fraction form
    126,861,146/201,863,120 = 201,863,120/x
  3. Step 3: Cross multiply
    126,861,146x = 201,863,120 × 201,863,120
  4. Step 4: Simplify right side
    126,861,146x = 40,748,719,216,134,400
  5. Step 5: Solve for x
    x = 40,748,719,216,134,400/126,861,146
  6. Step 6: Final answer
    x = 321,207,245.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.