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Finding the Third Proportional to 88,396 and 190,807

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Solution

The third proportional to 88,396 and 190,807 is: 411,866.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,396 : 190,807 = 190,807 : x
  2. Step 2: Convert to fraction form
    88,396/190,807 = 190,807/x
  3. Step 3: Cross multiply
    88,396x = 190,807 × 190,807
  4. Step 4: Simplify right side
    88,396x = 36,407,311,249
  5. Step 5: Solve for x
    x = 36,407,311,249/88,396
  6. Step 6: Final answer
    x = 411,866.05

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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.