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Finding the Third Proportional to 96,569.72 and 223,740.35

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Solution

The third proportional to 96,569.72 and 223,740.35 is: 518,379.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,569.72 : 223,740.35 = 223,740.35 : x
  2. Step 2: Convert to fraction form
    96,569.72/223,740.35 = 223,740.35/x
  3. Step 3: Cross multiply
    96,569.72x = 223,740.35 × 223,740.35
  4. Step 4: Simplify right side
    96,569.72x = 50,059,744,917.31
  5. Step 5: Solve for x
    x = 50,059,744,917.31/96,569.72
  6. Step 6: Final answer
    x = 518,379.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.