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Finding the Third Proportional to 104,436 and 146,605.50

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Solution

The third proportional to 104,436 and 146,605.50 is: 205,802.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,436 : 146,605.50 = 146,605.50 : x
  2. Step 2: Convert to fraction form
    104,436/146,605.50 = 146,605.50/x
  3. Step 3: Cross multiply
    104,436x = 146,605.50 × 146,605.50
  4. Step 4: Simplify right side
    104,436x = 21,493,172,630.25
  5. Step 5: Solve for x
    x = 21,493,172,630.25/104,436
  6. Step 6: Final answer
    x = 205,802.33

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.