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Finding the Third Proportional to 194,385,540 and 428,393,040

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Solution

The third proportional to 194,385,540 and 428,393,040 is: 944,106,216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,385,540 : 428,393,040 = 428,393,040 : x
  2. Step 2: Convert to fraction form
    194,385,540/428,393,040 = 428,393,040/x
  3. Step 3: Cross multiply
    194,385,540x = 428,393,040 × 428,393,040
  4. Step 4: Simplify right side
    194,385,540x = 183,520,596,720,441,600
  5. Step 5: Solve for x
    x = 183,520,596,720,441,600/194,385,540
  6. Step 6: Final answer
    x = 944,106,216.54

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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.