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Finding the Third Proportional to 105,594.75 and 229,779.75

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Solution

The third proportional to 105,594.75 and 229,779.75 is: 500,012.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,594.75 : 229,779.75 = 229,779.75 : x
  2. Step 2: Convert to fraction form
    105,594.75/229,779.75 = 229,779.75/x
  3. Step 3: Cross multiply
    105,594.75x = 229,779.75 × 229,779.75
  4. Step 4: Simplify right side
    105,594.75x = 52,798,733,510.06
  5. Step 5: Solve for x
    x = 52,798,733,510.06/105,594.75
  6. Step 6: Final answer
    x = 500,012.87

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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.