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Finding the Third Proportional to 102,026.25 and 221,525.63

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Solution

The third proportional to 102,026.25 and 221,525.63 is: 480,989.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,026.25 : 221,525.63 = 221,525.63 : x
  2. Step 2: Convert to fraction form
    102,026.25/221,525.63 = 221,525.63/x
  3. Step 3: Cross multiply
    102,026.25x = 221,525.63 × 221,525.63
  4. Step 4: Simplify right side
    102,026.25x = 49,073,602,531.64
  5. Step 5: Solve for x
    x = 49,073,602,531.64/102,026.25
  6. Step 6: Final answer
    x = 480,989.97

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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.