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Finding the Third Proportional to 52,808.36 and 109,102.25

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Solution

The third proportional to 52,808.36 and 109,102.25 is: 225,405.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,808.36 : 109,102.25 = 109,102.25 : x
  2. Step 2: Convert to fraction form
    52,808.36/109,102.25 = 109,102.25/x
  3. Step 3: Cross multiply
    52,808.36x = 109,102.25 × 109,102.25
  4. Step 4: Simplify right side
    52,808.36x = 11,903,301,807.42
  5. Step 5: Solve for x
    x = 11,903,301,807.42/52,808.36
  6. Step 6: Final answer
    x = 225,405.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.