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Finding the Third Proportional to 173,666,841 and 260,885,721

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Solution

The third proportional to 173,666,841 and 260,885,721 is: 391,907,626.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,666,841 : 260,885,721 = 260,885,721 : x
  2. Step 2: Convert to fraction form
    173,666,841/260,885,721 = 260,885,721/x
  3. Step 3: Cross multiply
    173,666,841x = 260,885,721 × 260,885,721
  4. Step 4: Simplify right side
    173,666,841x = 68,061,359,421,689,840
  5. Step 5: Solve for x
    x = 68,061,359,421,689,840/173,666,841
  6. Step 6: Final answer
    x = 391,907,626.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.