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Finding the Third Proportional to 106,609,327 and 161,226,190

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Solution

The third proportional to 106,609,327 and 161,226,190 is: 243,823,735.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,609,327 : 161,226,190 = 161,226,190 : x
  2. Step 2: Convert to fraction form
    106,609,327/161,226,190 = 161,226,190/x
  3. Step 3: Cross multiply
    106,609,327x = 161,226,190 × 161,226,190
  4. Step 4: Simplify right side
    106,609,327x = 25,993,884,341,916,100
  5. Step 5: Solve for x
    x = 25,993,884,341,916,100/106,609,327
  6. Step 6: Final answer
    x = 243,823,735.44

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Why These Related Problems?

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