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Finding the Third Proportional to 106,609,324.50 and 161,226,186.75

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Solution

The third proportional to 106,609,324.50 and 161,226,186.75 is: 243,823,731.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,609,324.50 : 161,226,186.75 = 161,226,186.75 : x
  2. Step 2: Convert to fraction form
    106,609,324.50/161,226,186.75 = 161,226,186.75/x
  3. Step 3: Cross multiply
    106,609,324.50x = 161,226,186.75 × 161,226,186.75
  4. Step 4: Simplify right side
    106,609,324.50x = 25,993,883,293,945,876
  5. Step 5: Solve for x
    x = 25,993,883,293,945,876/106,609,324.50
  6. Step 6: Final answer
    x = 243,823,731.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.