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Finding the Third Proportional to 165,927,546 and 239,024,223

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Solution

The third proportional to 165,927,546 and 239,024,223 is: 344,322,450.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,927,546 : 239,024,223 = 239,024,223 : x
  2. Step 2: Convert to fraction form
    165,927,546/239,024,223 = 239,024,223/x
  3. Step 3: Cross multiply
    165,927,546x = 239,024,223 × 239,024,223
  4. Step 4: Simplify right side
    165,927,546x = 57,132,579,180,753,728
  5. Step 5: Solve for x
    x = 57,132,579,180,753,728/165,927,546
  6. Step 6: Final answer
    x = 344,322,450.12

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.