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Finding the Third Proportional to 94,725 and 205,216

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Solution

The third proportional to 94,725 and 205,216 is: 444,588.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,725 : 205,216 = 205,216 : x
  2. Step 2: Convert to fraction form
    94,725/205,216 = 205,216/x
  3. Step 3: Cross multiply
    94,725x = 205,216 × 205,216
  4. Step 4: Simplify right side
    94,725x = 42,113,606,656
  5. Step 5: Solve for x
    x = 42,113,606,656/94,725
  6. Step 6: Final answer
    x = 444,588.09

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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.