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Finding the Third Proportional to 46,858.50 and 102,454.88

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Solution

The third proportional to 46,858.50 and 102,454.88 is: 224,014.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,858.50 : 102,454.88 = 102,454.88 : x
  2. Step 2: Convert to fraction form
    46,858.50/102,454.88 = 102,454.88/x
  3. Step 3: Cross multiply
    46,858.50x = 102,454.88 × 102,454.88
  4. Step 4: Simplify right side
    46,858.50x = 10,497,001,411.27
  5. Step 5: Solve for x
    x = 10,497,001,411.27/46,858.50
  6. Step 6: Final answer
    x = 224,014.88

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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.