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Finding the Third Proportional to 46,680 and 97,914

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Solution

The third proportional to 46,680 and 97,914 is: 205,380.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,680 : 97,914 = 97,914 : x
  2. Step 2: Convert to fraction form
    46,680/97,914 = 97,914/x
  3. Step 3: Cross multiply
    46,680x = 97,914 × 97,914
  4. Step 4: Simplify right side
    46,680x = 9,587,151,396
  5. Step 5: Solve for x
    x = 9,587,151,396/46,680
  6. Step 6: Final answer
    x = 205,380.28

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.