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Finding the Third Proportional to 149,572,860 and 223,761,378

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Solution

The third proportional to 149,572,860 and 223,761,378 is: 334,747,589.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,572,860 : 223,761,378 = 223,761,378 : x
  2. Step 2: Convert to fraction form
    149,572,860/223,761,378 = 223,761,378/x
  3. Step 3: Cross multiply
    149,572,860x = 223,761,378 × 223,761,378
  4. Step 4: Simplify right side
    149,572,860x = 50,069,154,284,458,880
  5. Step 5: Solve for x
    x = 50,069,154,284,458,880/149,572,860
  6. Step 6: Final answer
    x = 334,747,589.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.