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Finding the Third Proportional to 120,744,576 and 188,291,292

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Solution

The third proportional to 120,744,576 and 188,291,292 is: 293,624,871.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,744,576 : 188,291,292 = 188,291,292 : x
  2. Step 2: Convert to fraction form
    120,744,576/188,291,292 = 188,291,292/x
  3. Step 3: Cross multiply
    120,744,576x = 188,291,292 × 188,291,292
  4. Step 4: Simplify right side
    120,744,576x = 35,453,610,643,029,264
  5. Step 5: Solve for x
    x = 35,453,610,643,029,264/120,744,576
  6. Step 6: Final answer
    x = 293,624,871.75

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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.