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Finding the Third Proportional to 89,692 and 190,316

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Solution

The third proportional to 89,692 and 190,316 is: 403,828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,692 : 190,316 = 190,316 : x
  2. Step 2: Convert to fraction form
    89,692/190,316 = 190,316/x
  3. Step 3: Cross multiply
    89,692x = 190,316 × 190,316
  4. Step 4: Simplify right side
    89,692x = 36,220,179,856
  5. Step 5: Solve for x
    x = 36,220,179,856/89,692
  6. Step 6: Final answer
    x = 403,828.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.