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Finding the Third Proportional to 88,119 and 196,407

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Solution

The third proportional to 88,119 and 196,407 is: 437,768.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,119 : 196,407 = 196,407 : x
  2. Step 2: Convert to fraction form
    88,119/196,407 = 196,407/x
  3. Step 3: Cross multiply
    88,119x = 196,407 × 196,407
  4. Step 4: Simplify right side
    88,119x = 38,575,709,649
  5. Step 5: Solve for x
    x = 38,575,709,649/88,119
  6. Step 6: Final answer
    x = 437,768.35

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.