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Finding the Third Proportional to 124,948,176 and 255,984,912

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Solution

The third proportional to 124,948,176 and 255,984,912 is: 524,443,631.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,948,176 : 255,984,912 = 255,984,912 : x
  2. Step 2: Convert to fraction form
    124,948,176/255,984,912 = 255,984,912/x
  3. Step 3: Cross multiply
    124,948,176x = 255,984,912 × 255,984,912
  4. Step 4: Simplify right side
    124,948,176x = 65,528,275,171,647,744
  5. Step 5: Solve for x
    x = 65,528,275,171,647,744/124,948,176
  6. Step 6: Final answer
    x = 524,443,631.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.