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Finding the Third Proportional to 46,186.88 and 99,496.69

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Solution

The third proportional to 46,186.88 and 99,496.69 is: 214,337.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,186.88 : 99,496.69 = 99,496.69 : x
  2. Step 2: Convert to fraction form
    46,186.88/99,496.69 = 99,496.69/x
  3. Step 3: Cross multiply
    46,186.88x = 99,496.69 × 99,496.69
  4. Step 4: Simplify right side
    46,186.88x = 9,899,590,823.47
  5. Step 5: Solve for x
    x = 9,899,590,823.47/46,186.88
  6. Step 6: Final answer
    x = 214,337.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.