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Finding the Third Proportional to 46,200.38 and 99,302.34

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Solution

The third proportional to 46,200.38 and 99,302.34 is: 213,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,200.38 : 99,302.34 = 99,302.34 : x
  2. Step 2: Convert to fraction form
    46,200.38/99,302.34 = 99,302.34/x
  3. Step 3: Cross multiply
    46,200.38x = 99,302.34 × 99,302.34
  4. Step 4: Simplify right side
    46,200.38x = 9,860,955,474.24
  5. Step 5: Solve for x
    x = 9,860,955,474.24/46,200.38
  6. Step 6: Final answer
    x = 213,438.86

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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.