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Finding the Third Proportional to 49,344,440.25 and 106,926,216

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Solution

The third proportional to 49,344,440.25 and 106,926,216 is: 231,702,206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,344,440.25 : 106,926,216 = 106,926,216 : x
  2. Step 2: Convert to fraction form
    49,344,440.25/106,926,216 = 106,926,216/x
  3. Step 3: Cross multiply
    49,344,440.25x = 106,926,216 × 106,926,216
  4. Step 4: Simplify right side
    49,344,440.25x = 11,433,215,668,078,656
  5. Step 5: Solve for x
    x = 11,433,215,668,078,656/49,344,440.25
  6. Step 6: Final answer
    x = 231,702,206.17

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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.