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Finding the Third Proportional to 96,702.19 and 210,043.69

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Solution

The third proportional to 96,702.19 and 210,043.69 is: 456,229.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,702.19 : 210,043.69 = 210,043.69 : x
  2. Step 2: Convert to fraction form
    96,702.19/210,043.69 = 210,043.69/x
  3. Step 3: Cross multiply
    96,702.19x = 210,043.69 × 210,043.69
  4. Step 4: Simplify right side
    96,702.19x = 44,118,350,658.60
  5. Step 5: Solve for x
    x = 44,118,350,658.60/96,702.19
  6. Step 6: Final answer
    x = 456,229.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.