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Finding the Third Proportional to 46,516 and 96,968

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Solution

The third proportional to 46,516 and 96,968 is: 202,141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,516 : 96,968 = 96,968 : x
  2. Step 2: Convert to fraction form
    46,516/96,968 = 96,968/x
  3. Step 3: Cross multiply
    46,516x = 96,968 × 96,968
  4. Step 4: Simplify right side
    46,516x = 9,402,793,024
  5. Step 5: Solve for x
    x = 9,402,793,024/46,516
  6. Step 6: Final answer
    x = 202,141.05

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Why These Related Problems?

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