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Finding the Third Proportional to 88,964 and 193,416

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Solution

The third proportional to 88,964 and 193,416 is: 420,504.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,964 : 193,416 = 193,416 : x
  2. Step 2: Convert to fraction form
    88,964/193,416 = 193,416/x
  3. Step 3: Cross multiply
    88,964x = 193,416 × 193,416
  4. Step 4: Simplify right side
    88,964x = 37,409,749,056
  5. Step 5: Solve for x
    x = 37,409,749,056/88,964
  6. Step 6: Final answer
    x = 420,504.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.