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Finding the Third Proportional to 120,744,584 and 188,291,287

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Solution

The third proportional to 120,744,584 and 188,291,287 is: 293,624,836.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,744,584 : 188,291,287 = 188,291,287 : x
  2. Step 2: Convert to fraction form
    120,744,584/188,291,287 = 188,291,287/x
  3. Step 3: Cross multiply
    120,744,584x = 188,291,287 × 188,291,287
  4. Step 4: Simplify right side
    120,744,584x = 35,453,608,760,116,368
  5. Step 5: Solve for x
    x = 35,453,608,760,116,368/120,744,584
  6. Step 6: Final answer
    x = 293,624,836.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.