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Finding the Third Proportional to 80,104,905 and 164,456,417

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Solution

The third proportional to 80,104,905 and 164,456,417 is: 337,631,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,104,905 : 164,456,417 = 164,456,417 : x
  2. Step 2: Convert to fraction form
    80,104,905/164,456,417 = 164,456,417/x
  3. Step 3: Cross multiply
    80,104,905x = 164,456,417 × 164,456,417
  4. Step 4: Simplify right side
    80,104,905x = 27,045,913,092,477,888
  5. Step 5: Solve for x
    x = 27,045,913,092,477,888/80,104,905
  6. Step 6: Final answer
    x = 337,631,173.68

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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.