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Finding the Third Proportional to 53,616.94 and 105,888.09

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Solution

The third proportional to 53,616.94 and 105,888.09 is: 209,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,616.94 : 105,888.09 = 105,888.09 : x
  2. Step 2: Convert to fraction form
    53,616.94/105,888.09 = 105,888.09/x
  3. Step 3: Cross multiply
    53,616.94x = 105,888.09 × 105,888.09
  4. Step 4: Simplify right side
    53,616.94x = 11,212,288,398.01
  5. Step 5: Solve for x
    x = 11,212,288,398.01/53,616.94
  6. Step 6: Final answer
    x = 209,118.40

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.