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Finding the Third Proportional to 65,846,197 and 144,727,662

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Solution

The third proportional to 65,846,197 and 144,727,662 is: 318,106,391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,846,197 : 144,727,662 = 144,727,662 : x
  2. Step 2: Convert to fraction form
    65,846,197/144,727,662 = 144,727,662/x
  3. Step 3: Cross multiply
    65,846,197x = 144,727,662 × 144,727,662
  4. Step 4: Simplify right side
    65,846,197x = 20,946,096,147,986,244
  5. Step 5: Solve for x
    x = 20,946,096,147,986,244/65,846,197
  6. Step 6: Final answer
    x = 318,106,391.90

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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.