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Finding the Third Proportional to 227,442,932 and 325,021,876

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Solution

The third proportional to 227,442,932 and 325,021,876 is: 464,464,729.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,442,932 : 325,021,876 = 325,021,876 : x
  2. Step 2: Convert to fraction form
    227,442,932/325,021,876 = 325,021,876/x
  3. Step 3: Cross multiply
    227,442,932x = 325,021,876 × 325,021,876
  4. Step 4: Simplify right side
    227,442,932x = 105,639,219,878,559,376
  5. Step 5: Solve for x
    x = 105,639,219,878,559,376/227,442,932
  6. Step 6: Final answer
    x = 464,464,729.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.