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Finding the Third Proportional to 94,776 and 204,313.50

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Solution

The third proportional to 94,776 and 204,313.50 is: 440,449.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,776 : 204,313.50 = 204,313.50 : x
  2. Step 2: Convert to fraction form
    94,776/204,313.50 = 204,313.50/x
  3. Step 3: Cross multiply
    94,776x = 204,313.50 × 204,313.50
  4. Step 4: Simplify right side
    94,776x = 41,744,006,282.25
  5. Step 5: Solve for x
    x = 41,744,006,282.25/94,776
  6. Step 6: Final answer
    x = 440,449.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.