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Finding the Third Proportional to 46,999.83 and 108,216.84

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Solution

The third proportional to 46,999.83 and 108,216.84 is: 249,168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,999.83 : 108,216.84 = 108,216.84 : x
  2. Step 2: Convert to fraction form
    46,999.83/108,216.84 = 108,216.84/x
  3. Step 3: Cross multiply
    46,999.83x = 108,216.84 × 108,216.84
  4. Step 4: Simplify right side
    46,999.83x = 11,710,885,271.21
  5. Step 5: Solve for x
    x = 11,710,885,271.21/46,999.83
  6. Step 6: Final answer
    x = 249,168.68

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.