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Finding the Third Proportional to 96,782.34 and 212,154.19

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Solution

The third proportional to 96,782.34 and 212,154.19 is: 465,057.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,782.34 : 212,154.19 = 212,154.19 : x
  2. Step 2: Convert to fraction form
    96,782.34/212,154.19 = 212,154.19/x
  3. Step 3: Cross multiply
    96,782.34x = 212,154.19 × 212,154.19
  4. Step 4: Simplify right side
    96,782.34x = 45,009,399,273.79
  5. Step 5: Solve for x
    x = 45,009,399,273.79/96,782.34
  6. Step 6: Final answer
    x = 465,057.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.