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Finding the Third Proportional to 239,590,109 and 368,039,745

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Solution

The third proportional to 239,590,109 and 368,039,745 is: 565,354,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,590,109 : 368,039,745 = 368,039,745 : x
  2. Step 2: Convert to fraction form
    239,590,109/368,039,745 = 368,039,745/x
  3. Step 3: Cross multiply
    239,590,109x = 368,039,745 × 368,039,745
  4. Step 4: Simplify right side
    239,590,109x = 135,453,253,899,665,024
  5. Step 5: Solve for x
    x = 135,453,253,899,665,024/239,590,109
  6. Step 6: Final answer
    x = 565,354,114.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.