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Finding the Third Proportional to 49,830.19 and 97,336.69

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Solution

The third proportional to 49,830.19 and 97,336.69 is: 190,134.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,830.19 : 97,336.69 = 97,336.69 : x
  2. Step 2: Convert to fraction form
    49,830.19/97,336.69 = 97,336.69/x
  3. Step 3: Cross multiply
    49,830.19x = 97,336.69 × 97,336.69
  4. Step 4: Simplify right side
    49,830.19x = 9,474,430,733.47
  5. Step 5: Solve for x
    x = 9,474,430,733.47/49,830.19
  6. Step 6: Final answer
    x = 190,134.36

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.