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Finding the Third Proportional to 46,017 and 97,338.38

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Solution

The third proportional to 46,017 and 97,338.38 is: 205,896.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,017 : 97,338.38 = 97,338.38 : x
  2. Step 2: Convert to fraction form
    46,017/97,338.38 = 97,338.38/x
  3. Step 3: Cross multiply
    46,017x = 97,338.38 × 97,338.38
  4. Step 4: Simplify right side
    46,017x = 9,474,759,247.64
  5. Step 5: Solve for x
    x = 9,474,759,247.64/46,017
  6. Step 6: Final answer
    x = 205,896.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.