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Finding the Third Proportional to 91,829 and 201,262

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Solution

The third proportional to 91,829 and 201,262 is: 441,106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,829 : 201,262 = 201,262 : x
  2. Step 2: Convert to fraction form
    91,829/201,262 = 201,262/x
  3. Step 3: Cross multiply
    91,829x = 201,262 × 201,262
  4. Step 4: Simplify right side
    91,829x = 40,506,392,644
  5. Step 5: Solve for x
    x = 40,506,392,644/91,829
  6. Step 6: Final answer
    x = 441,106.76

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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.