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Finding the Third Proportional to 65,846,202 and 144,727,671

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Solution

The third proportional to 65,846,202 and 144,727,671 is: 318,106,407.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,846,202 : 144,727,671 = 144,727,671 : x
  2. Step 2: Convert to fraction form
    65,846,202/144,727,671 = 144,727,671/x
  3. Step 3: Cross multiply
    65,846,202x = 144,727,671 × 144,727,671
  4. Step 4: Simplify right side
    65,846,202x = 20,946,098,753,084,240
  5. Step 5: Solve for x
    x = 20,946,098,753,084,240/65,846,202
  6. Step 6: Final answer
    x = 318,106,407.31

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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.