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Finding the Third Proportional to 46,684.50 and 102,439.50

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Solution

The third proportional to 46,684.50 and 102,439.50 is: 224,782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,684.50 : 102,439.50 = 102,439.50 : x
  2. Step 2: Convert to fraction form
    46,684.50/102,439.50 = 102,439.50/x
  3. Step 3: Cross multiply
    46,684.50x = 102,439.50 × 102,439.50
  4. Step 4: Simplify right side
    46,684.50x = 10,493,851,160.25
  5. Step 5: Solve for x
    x = 10,493,851,160.25/46,684.50
  6. Step 6: Final answer
    x = 224,782.34

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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.