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Finding the Third Proportional to 106,509 and 229,618.50

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Solution

The third proportional to 106,509 and 229,618.50 is: 495,025.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,509 : 229,618.50 = 229,618.50 : x
  2. Step 2: Convert to fraction form
    106,509/229,618.50 = 229,618.50/x
  3. Step 3: Cross multiply
    106,509x = 229,618.50 × 229,618.50
  4. Step 4: Simplify right side
    106,509x = 52,724,655,542.25
  5. Step 5: Solve for x
    x = 52,724,655,542.25/106,509
  6. Step 6: Final answer
    x = 495,025.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.