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Finding the Third Proportional to 103,547.25 and 221,843.25

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Solution

The third proportional to 103,547.25 and 221,843.25 is: 475,284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,547.25 : 221,843.25 = 221,843.25 : x
  2. Step 2: Convert to fraction form
    103,547.25/221,843.25 = 221,843.25/x
  3. Step 3: Cross multiply
    103,547.25x = 221,843.25 × 221,843.25
  4. Step 4: Simplify right side
    103,547.25x = 49,214,427,570.56
  5. Step 5: Solve for x
    x = 49,214,427,570.56/103,547.25
  6. Step 6: Final answer
    x = 475,284.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.