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Finding the Third Proportional to 41,733.19 and 98,417.63

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Solution

The third proportional to 41,733.19 and 98,417.63 is: 232,094.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,733.19 : 98,417.63 = 98,417.63 : x
  2. Step 2: Convert to fraction form
    41,733.19/98,417.63 = 98,417.63/x
  3. Step 3: Cross multiply
    41,733.19x = 98,417.63 × 98,417.63
  4. Step 4: Simplify right side
    41,733.19x = 9,686,028,910.64
  5. Step 5: Solve for x
    x = 9,686,028,910.64/41,733.19
  6. Step 6: Final answer
    x = 232,094.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.