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Finding the Third Proportional to 49,365.07 and 104,613.40

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Solution

The third proportional to 49,365.07 and 104,613.40 is: 221,694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,365.07 : 104,613.40 = 104,613.40 : x
  2. Step 2: Convert to fraction form
    49,365.07/104,613.40 = 104,613.40/x
  3. Step 3: Cross multiply
    49,365.07x = 104,613.40 × 104,613.40
  4. Step 4: Simplify right side
    49,365.07x = 10,943,963,132.64
  5. Step 5: Solve for x
    x = 10,943,963,132.64/49,365.07
  6. Step 6: Final answer
    x = 221,694.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.