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Finding the Third Proportional to 194,957,682 and 428,181,312

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Solution

The third proportional to 194,957,682 and 428,181,312 is: 940,405,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,957,682 : 428,181,312 = 428,181,312 : x
  2. Step 2: Convert to fraction form
    194,957,682/428,181,312 = 428,181,312/x
  3. Step 3: Cross multiply
    194,957,682x = 428,181,312 × 428,181,312
  4. Step 4: Simplify right side
    194,957,682x = 183,339,235,946,041,344
  5. Step 5: Solve for x
    x = 183,339,235,946,041,344/194,957,682
  6. Step 6: Final answer
    x = 940,405,292.40

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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.