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Finding the Third Proportional to 80,104,909 and 164,456,426

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Solution

The third proportional to 80,104,909 and 164,456,426 is: 337,631,193.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,104,909 : 164,456,426 = 164,456,426 : x
  2. Step 2: Convert to fraction form
    80,104,909/164,456,426 = 164,456,426/x
  3. Step 3: Cross multiply
    80,104,909x = 164,456,426 × 164,456,426
  4. Step 4: Simplify right side
    80,104,909x = 27,045,916,052,693,476
  5. Step 5: Solve for x
    x = 27,045,916,052,693,476/80,104,909
  6. Step 6: Final answer
    x = 337,631,193.77

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