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Finding the Third Proportional to 94,468.50 and 206,271

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Solution

The third proportional to 94,468.50 and 206,271 is: 450,390.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,468.50 : 206,271 = 206,271 : x
  2. Step 2: Convert to fraction form
    94,468.50/206,271 = 206,271/x
  3. Step 3: Cross multiply
    94,468.50x = 206,271 × 206,271
  4. Step 4: Simplify right side
    94,468.50x = 42,547,725,441
  5. Step 5: Solve for x
    x = 42,547,725,441/94,468.50
  6. Step 6: Final answer
    x = 450,390.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.