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Finding the Third Proportional to 88,958 and 195,411

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Solution

The third proportional to 88,958 and 195,411 is: 429,252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,958 : 195,411 = 195,411 : x
  2. Step 2: Convert to fraction form
    88,958/195,411 = 195,411/x
  3. Step 3: Cross multiply
    88,958x = 195,411 × 195,411
  4. Step 4: Simplify right side
    88,958x = 38,185,458,921
  5. Step 5: Solve for x
    x = 38,185,458,921/88,958
  6. Step 6: Final answer
    x = 429,252.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.