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Finding the Third Proportional to 75,246,529.50 and 165,290,364

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Solution

The third proportional to 75,246,529.50 and 165,290,364 is: 363,085,242.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,246,529.50 : 165,290,364 = 165,290,364 : x
  2. Step 2: Convert to fraction form
    75,246,529.50/165,290,364 = 165,290,364/x
  3. Step 3: Cross multiply
    75,246,529.50x = 165,290,364 × 165,290,364
  4. Step 4: Simplify right side
    75,246,529.50x = 27,320,904,431,252,496
  5. Step 5: Solve for x
    x = 27,320,904,431,252,496/75,246,529.50
  6. Step 6: Final answer
    x = 363,085,242.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.