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Finding the Third Proportional to 227,438,359 and 491,191,130

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Solution

The third proportional to 227,438,359 and 491,191,130 is: 1,060,809,299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,438,359 : 491,191,130 = 491,191,130 : x
  2. Step 2: Convert to fraction form
    227,438,359/491,191,130 = 491,191,130/x
  3. Step 3: Cross multiply
    227,438,359x = 491,191,130 × 491,191,130
  4. Step 4: Simplify right side
    227,438,359x = 241,268,726,190,676,896
  5. Step 5: Solve for x
    x = 241,268,726,190,676,896/227,438,359
  6. Step 6: Final answer
    x = 1,060,809,299.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.