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Finding the Third Proportional to 46,916 and 97,702

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Solution

The third proportional to 46,916 and 97,702 is: 203,463.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,916 : 97,702 = 97,702 : x
  2. Step 2: Convert to fraction form
    46,916/97,702 = 97,702/x
  3. Step 3: Cross multiply
    46,916x = 97,702 × 97,702
  4. Step 4: Simplify right side
    46,916x = 9,545,680,804
  5. Step 5: Solve for x
    x = 9,545,680,804/46,916
  6. Step 6: Final answer
    x = 203,463.23

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.