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Finding the Third Proportional to 46,939.50 and 96,066

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Solution

The third proportional to 46,939.50 and 96,066 is: 196,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,939.50 : 96,066 = 96,066 : x
  2. Step 2: Convert to fraction form
    46,939.50/96,066 = 96,066/x
  3. Step 3: Cross multiply
    46,939.50x = 96,066 × 96,066
  4. Step 4: Simplify right side
    46,939.50x = 9,228,676,356
  5. Step 5: Solve for x
    x = 9,228,676,356/46,939.50
  6. Step 6: Final answer
    x = 196,607.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.