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Finding the Third Proportional to 227,437,880 and 491,190,166

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Solution

The third proportional to 227,437,880 and 491,190,166 is: 1,060,807,369.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,437,880 : 491,190,166 = 491,190,166 : x
  2. Step 2: Convert to fraction form
    227,437,880/491,190,166 = 491,190,166/x
  3. Step 3: Cross multiply
    227,437,880x = 491,190,166 × 491,190,166
  4. Step 4: Simplify right side
    227,437,880x = 241,267,779,175,107,552
  5. Step 5: Solve for x
    x = 241,267,779,175,107,552/227,437,880
  6. Step 6: Final answer
    x = 1,060,807,369.36

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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.