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Finding the Third Proportional to 109,747,194.25 and 157,745,216.50

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Solution

The third proportional to 109,747,194.25 and 157,745,216.50 is: 226,735,211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,747,194.25 : 157,745,216.50 = 157,745,216.50 : x
  2. Step 2: Convert to fraction form
    109,747,194.25/157,745,216.50 = 157,745,216.50/x
  3. Step 3: Cross multiply
    109,747,194.25x = 157,745,216.50 × 157,745,216.50
  4. Step 4: Simplify right side
    109,747,194.25x = 24,883,553,328,631,872
  5. Step 5: Solve for x
    x = 24,883,553,328,631,872/109,747,194.25
  6. Step 6: Final answer
    x = 226,735,211.76

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.