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Finding the Third Proportional to 105,424.44 and 229,567.50

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Solution

The third proportional to 105,424.44 and 229,567.50 is: 499,895.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,424.44 : 229,567.50 = 229,567.50 : x
  2. Step 2: Convert to fraction form
    105,424.44/229,567.50 = 229,567.50/x
  3. Step 3: Cross multiply
    105,424.44x = 229,567.50 × 229,567.50
  4. Step 4: Simplify right side
    105,424.44x = 52,701,237,056.25
  5. Step 5: Solve for x
    x = 52,701,237,056.25/105,424.44
  6. Step 6: Final answer
    x = 499,895.83

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Why These Related Problems?

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