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Finding the Third Proportional to 78,100,599 and 162,665,529

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Solution

The third proportional to 78,100,599 and 162,665,529 is: 338,794,768.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,100,599 : 162,665,529 = 162,665,529 : x
  2. Step 2: Convert to fraction form
    78,100,599/162,665,529 = 162,665,529/x
  3. Step 3: Cross multiply
    78,100,599x = 162,665,529 × 162,665,529
  4. Step 4: Simplify right side
    78,100,599x = 26,460,074,324,849,840
  5. Step 5: Solve for x
    x = 26,460,074,324,849,840/78,100,599
  6. Step 6: Final answer
    x = 338,794,768.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.