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Finding the Third Proportional to 227,438,374 and 491,191,145

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Solution

The third proportional to 227,438,374 and 491,191,145 is: 1,060,809,293.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,438,374 : 491,191,145 = 491,191,145 : x
  2. Step 2: Convert to fraction form
    227,438,374/491,191,145 = 491,191,145/x
  3. Step 3: Cross multiply
    227,438,374x = 491,191,145 × 491,191,145
  4. Step 4: Simplify right side
    227,438,374x = 241,268,740,926,411,040
  5. Step 5: Solve for x
    x = 241,268,740,926,411,040/227,438,374
  6. Step 6: Final answer
    x = 1,060,809,293.89

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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.