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Finding the Third Proportional to 95,821.31 and 201,573.56

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Solution

The third proportional to 95,821.31 and 201,573.56 is: 424,038.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,821.31 : 201,573.56 = 201,573.56 : x
  2. Step 2: Convert to fraction form
    95,821.31/201,573.56 = 201,573.56/x
  3. Step 3: Cross multiply
    95,821.31x = 201,573.56 × 201,573.56
  4. Step 4: Simplify right side
    95,821.31x = 40,631,901,098.94
  5. Step 5: Solve for x
    x = 40,631,901,098.94/95,821.31
  6. Step 6: Final answer
    x = 424,038.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.