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Finding the Third Proportional to 105,114.50 and 229,790

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Solution

The third proportional to 105,114.50 and 229,790 is: 502,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,114.50 : 229,790 = 229,790 : x
  2. Step 2: Convert to fraction form
    105,114.50/229,790 = 229,790/x
  3. Step 3: Cross multiply
    105,114.50x = 229,790 × 229,790
  4. Step 4: Simplify right side
    105,114.50x = 52,803,444,100
  5. Step 5: Solve for x
    x = 52,803,444,100/105,114.50
  6. Step 6: Final answer
    x = 502,342.15

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Why These Related Problems?

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