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Finding the Third Proportional to 239,590,107 and 368,039,742

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Solution

The third proportional to 239,590,107 and 368,039,742 is: 565,354,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,590,107 : 368,039,742 = 368,039,742 : x
  2. Step 2: Convert to fraction form
    239,590,107/368,039,742 = 368,039,742/x
  3. Step 3: Cross multiply
    239,590,107x = 368,039,742 × 368,039,742
  4. Step 4: Simplify right side
    239,590,107x = 135,453,251,691,426,560
  5. Step 5: Solve for x
    x = 135,453,251,691,426,560/239,590,107
  6. Step 6: Final answer
    x = 565,354,109.93

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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.