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Finding the Third Proportional to 88,819 and 195,133

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Solution

The third proportional to 88,819 and 195,133 is: 428,702.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,819 : 195,133 = 195,133 : x
  2. Step 2: Convert to fraction form
    88,819/195,133 = 195,133/x
  3. Step 3: Cross multiply
    88,819x = 195,133 × 195,133
  4. Step 4: Simplify right side
    88,819x = 38,076,887,689
  5. Step 5: Solve for x
    x = 38,076,887,689/88,819
  6. Step 6: Final answer
    x = 428,702.05

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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.