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Finding the Third Proportional to 89,691.50 and 190,316

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Solution

The third proportional to 89,691.50 and 190,316 is: 403,830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,691.50 : 190,316 = 190,316 : x
  2. Step 2: Convert to fraction form
    89,691.50/190,316 = 190,316/x
  3. Step 3: Cross multiply
    89,691.50x = 190,316 × 190,316
  4. Step 4: Simplify right side
    89,691.50x = 36,220,179,856
  5. Step 5: Solve for x
    x = 36,220,179,856/89,691.50
  6. Step 6: Final answer
    x = 403,830.68

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