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Finding the Third Proportional to 49,460,234 and 105,727,204

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Solution

The third proportional to 49,460,234 and 105,727,204 is: 226,004,625.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,460,234 : 105,727,204 = 105,727,204 : x
  2. Step 2: Convert to fraction form
    49,460,234/105,727,204 = 105,727,204/x
  3. Step 3: Cross multiply
    49,460,234x = 105,727,204 × 105,727,204
  4. Step 4: Simplify right side
    49,460,234x = 11,178,241,665,657,616
  5. Step 5: Solve for x
    x = 11,178,241,665,657,616/49,460,234
  6. Step 6: Final answer
    x = 226,004,625.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.