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Finding the Third Proportional to 46,354 and 101,167.50

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Solution

The third proportional to 46,354 and 101,167.50 is: 220,797.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,354 : 101,167.50 = 101,167.50 : x
  2. Step 2: Convert to fraction form
    46,354/101,167.50 = 101,167.50/x
  3. Step 3: Cross multiply
    46,354x = 101,167.50 × 101,167.50
  4. Step 4: Simplify right side
    46,354x = 10,234,863,056.25
  5. Step 5: Solve for x
    x = 10,234,863,056.25/46,354
  6. Step 6: Final answer
    x = 220,797.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.