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Finding the Third Proportional to 80,105,043 and 164,456,692.50

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Solution

The third proportional to 80,105,043 and 164,456,692.50 is: 337,631,723.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,105,043 : 164,456,692.50 = 164,456,692.50 : x
  2. Step 2: Convert to fraction form
    80,105,043/164,456,692.50 = 164,456,692.50/x
  3. Step 3: Cross multiply
    80,105,043x = 164,456,692.50 × 164,456,692.50
  4. Step 4: Simplify right side
    80,105,043x = 27,046,003,708,039,556
  5. Step 5: Solve for x
    x = 27,046,003,708,039,556/80,105,043
  6. Step 6: Final answer
    x = 337,631,723.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.