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Finding the Third Proportional to 46,622.25 and 101,783.25

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Solution

The third proportional to 46,622.25 and 101,783.25 is: 222,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,622.25 : 101,783.25 = 101,783.25 : x
  2. Step 2: Convert to fraction form
    46,622.25/101,783.25 = 101,783.25/x
  3. Step 3: Cross multiply
    46,622.25x = 101,783.25 × 101,783.25
  4. Step 4: Simplify right side
    46,622.25x = 10,359,829,980.56
  5. Step 5: Solve for x
    x = 10,359,829,980.56/46,622.25
  6. Step 6: Final answer
    x = 222,207.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.