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Finding the Third Proportional to 105,786 and 230,890.50

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Solution

The third proportional to 105,786 and 230,890.50 is: 503,945.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,786 : 230,890.50 = 230,890.50 : x
  2. Step 2: Convert to fraction form
    105,786/230,890.50 = 230,890.50/x
  3. Step 3: Cross multiply
    105,786x = 230,890.50 × 230,890.50
  4. Step 4: Simplify right side
    105,786x = 53,310,422,990.25
  5. Step 5: Solve for x
    x = 53,310,422,990.25/105,786
  6. Step 6: Final answer
    x = 503,945.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.