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Finding the Third Proportional to 135,628.17 and 221,895.07

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Solution

The third proportional to 135,628.17 and 221,895.07 is: 363,032.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,628.17 : 221,895.07 = 221,895.07 : x
  2. Step 2: Convert to fraction form
    135,628.17/221,895.07 = 221,895.07/x
  3. Step 3: Cross multiply
    135,628.17x = 221,895.07 × 221,895.07
  4. Step 4: Simplify right side
    135,628.17x = 49,237,422,228.99
  5. Step 5: Solve for x
    x = 49,237,422,228.99/135,628.17
  6. Step 6: Final answer
    x = 363,032.41

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.