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Finding the Third Proportional to 194,957,712 and 428,181,372

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Solution

The third proportional to 194,957,712 and 428,181,372 is: 940,405,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,957,712 : 428,181,372 = 428,181,372 : x
  2. Step 2: Convert to fraction form
    194,957,712/428,181,372 = 428,181,372/x
  3. Step 3: Cross multiply
    194,957,712x = 428,181,372 × 428,181,372
  4. Step 4: Simplify right side
    194,957,712x = 183,339,287,327,802,368
  5. Step 5: Solve for x
    x = 183,339,287,327,802,368/194,957,712
  6. Step 6: Final answer
    x = 940,405,411.24

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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.