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Finding the Third Proportional to 43,829 and 96,000.50

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Solution

The third proportional to 43,829 and 96,000.50 is: 210,273.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,829 : 96,000.50 = 96,000.50 : x
  2. Step 2: Convert to fraction form
    43,829/96,000.50 = 96,000.50/x
  3. Step 3: Cross multiply
    43,829x = 96,000.50 × 96,000.50
  4. Step 4: Simplify right side
    43,829x = 9,216,096,000.25
  5. Step 5: Solve for x
    x = 9,216,096,000.25/43,829
  6. Step 6: Final answer
    x = 210,273.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.