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Finding the Third Proportional to 65,846,200 and 144,727,669

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Solution

The third proportional to 65,846,200 and 144,727,669 is: 318,106,408.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,846,200 : 144,727,669 = 144,727,669 : x
  2. Step 2: Convert to fraction form
    65,846,200/144,727,669 = 144,727,669/x
  3. Step 3: Cross multiply
    65,846,200x = 144,727,669 × 144,727,669
  4. Step 4: Simplify right side
    65,846,200x = 20,946,098,174,173,560
  5. Step 5: Solve for x
    x = 20,946,098,174,173,560/65,846,200
  6. Step 6: Final answer
    x = 318,106,408.18

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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.