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Finding the Third Proportional to 91,718 and 201,263

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Solution

The third proportional to 91,718 and 201,263 is: 441,644.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,718 : 201,263 = 201,263 : x
  2. Step 2: Convert to fraction form
    91,718/201,263 = 201,263/x
  3. Step 3: Cross multiply
    91,718x = 201,263 × 201,263
  4. Step 4: Simplify right side
    91,718x = 40,506,795,169
  5. Step 5: Solve for x
    x = 40,506,795,169/91,718
  6. Step 6: Final answer
    x = 441,644.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.