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Finding the Third Proportional to 230,978,684 and 481,063,365

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Solution

The third proportional to 230,978,684 and 481,063,365 is: 1,001,919,125.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,978,684 : 481,063,365 = 481,063,365 : x
  2. Step 2: Convert to fraction form
    230,978,684/481,063,365 = 481,063,365/x
  3. Step 3: Cross multiply
    230,978,684x = 481,063,365 × 481,063,365
  4. Step 4: Simplify right side
    230,978,684x = 231,421,961,145,123,232
  5. Step 5: Solve for x
    x = 231,421,961,145,123,232/230,978,684
  6. Step 6: Final answer
    x = 1,001,919,125.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.