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Finding the Third Proportional to 96,927.19 and 209,421.56

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Solution

The third proportional to 96,927.19 and 209,421.56 is: 452,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,927.19 : 209,421.56 = 209,421.56 : x
  2. Step 2: Convert to fraction form
    96,927.19/209,421.56 = 209,421.56/x
  3. Step 3: Cross multiply
    96,927.19x = 209,421.56 × 209,421.56
  4. Step 4: Simplify right side
    96,927.19x = 43,857,390,839.94
  5. Step 5: Solve for x
    x = 43,857,390,839.94/96,927.19
  6. Step 6: Final answer
    x = 452,477.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.