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Finding the Third Proportional to 49,802.25 and 107,907

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Solution

The third proportional to 49,802.25 and 107,907 is: 233,803.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,802.25 : 107,907 = 107,907 : x
  2. Step 2: Convert to fraction form
    49,802.25/107,907 = 107,907/x
  3. Step 3: Cross multiply
    49,802.25x = 107,907 × 107,907
  4. Step 4: Simplify right side
    49,802.25x = 11,643,920,649
  5. Step 5: Solve for x
    x = 11,643,920,649/49,802.25
  6. Step 6: Final answer
    x = 233,803.10

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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.