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Finding the Third Proportional to 96,779.81 and 227,706.19

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Solution

The third proportional to 96,779.81 and 227,706.19 is: 535,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,779.81 : 227,706.19 = 227,706.19 : x
  2. Step 2: Convert to fraction form
    96,779.81/227,706.19 = 227,706.19/x
  3. Step 3: Cross multiply
    96,779.81x = 227,706.19 × 227,706.19
  4. Step 4: Simplify right side
    96,779.81x = 51,850,107,825.79
  5. Step 5: Solve for x
    x = 51,850,107,825.79/96,779.81
  6. Step 6: Final answer
    x = 535,753.34

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.