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Finding the Third Proportional to 88,814 and 190,804

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Solution

The third proportional to 88,814 and 190,804 is: 409,914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,814 : 190,804 = 190,804 : x
  2. Step 2: Convert to fraction form
    88,814/190,804 = 190,804/x
  3. Step 3: Cross multiply
    88,814x = 190,804 × 190,804
  4. Step 4: Simplify right side
    88,814x = 36,406,166,416
  5. Step 5: Solve for x
    x = 36,406,166,416/88,814
  6. Step 6: Final answer
    x = 409,914.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.