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Finding the Third Proportional to 46,977.79 and 101,225.64

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Solution

The third proportional to 46,977.79 and 101,225.64 is: 218,116.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,977.79 : 101,225.64 = 101,225.64 : x
  2. Step 2: Convert to fraction form
    46,977.79/101,225.64 = 101,225.64/x
  3. Step 3: Cross multiply
    46,977.79x = 101,225.64 × 101,225.64
  4. Step 4: Simplify right side
    46,977.79x = 10,246,629,529.12
  5. Step 5: Solve for x
    x = 10,246,629,529.12/46,977.79
  6. Step 6: Final answer
    x = 218,116.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.