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Finding the Third Proportional to 100,703.25 and 221,653.13

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Solution

The third proportional to 100,703.25 and 221,653.13 is: 487,870.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,703.25 : 221,653.13 = 221,653.13 : x
  2. Step 2: Convert to fraction form
    100,703.25/221,653.13 = 221,653.13/x
  3. Step 3: Cross multiply
    100,703.25x = 221,653.13 × 221,653.13
  4. Step 4: Simplify right side
    100,703.25x = 49,130,107,822.27
  5. Step 5: Solve for x
    x = 49,130,107,822.27/100,703.25
  6. Step 6: Final answer
    x = 487,870.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.