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Finding the Third Proportional to 104,881.50 and 229,635

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Solution

The third proportional to 104,881.50 and 229,635 is: 502,779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,881.50 : 229,635 = 229,635 : x
  2. Step 2: Convert to fraction form
    104,881.50/229,635 = 229,635/x
  3. Step 3: Cross multiply
    104,881.50x = 229,635 × 229,635
  4. Step 4: Simplify right side
    104,881.50x = 52,732,233,225
  5. Step 5: Solve for x
    x = 52,732,233,225/104,881.50
  6. Step 6: Final answer
    x = 502,779.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.