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Finding the Third Proportional to 106,653 and 229,564.50

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Solution

The third proportional to 106,653 and 229,564.50 is: 494,124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,653 : 229,564.50 = 229,564.50 : x
  2. Step 2: Convert to fraction form
    106,653/229,564.50 = 229,564.50/x
  3. Step 3: Cross multiply
    106,653x = 229,564.50 × 229,564.50
  4. Step 4: Simplify right side
    106,653x = 52,699,859,660.25
  5. Step 5: Solve for x
    x = 52,699,859,660.25/106,653
  6. Step 6: Final answer
    x = 494,124.49

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