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Finding the Third Proportional to 49,344,434.25 and 106,926,204

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Solution

The third proportional to 49,344,434.25 and 106,926,204 is: 231,702,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,344,434.25 : 106,926,204 = 106,926,204 : x
  2. Step 2: Convert to fraction form
    49,344,434.25/106,926,204 = 106,926,204/x
  3. Step 3: Cross multiply
    49,344,434.25x = 106,926,204 × 106,926,204
  4. Step 4: Simplify right side
    49,344,434.25x = 11,433,213,101,849,616
  5. Step 5: Solve for x
    x = 11,433,213,101,849,616/49,344,434.25
  6. Step 6: Final answer
    x = 231,702,182.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.