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Finding the Third Proportional to 46,808 and 102,362

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Solution

The third proportional to 46,808 and 102,362 is: 223,850.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,808 : 102,362 = 102,362 : x
  2. Step 2: Convert to fraction form
    46,808/102,362 = 102,362/x
  3. Step 3: Cross multiply
    46,808x = 102,362 × 102,362
  4. Step 4: Simplify right side
    46,808x = 10,477,979,044
  5. Step 5: Solve for x
    x = 10,477,979,044/46,808
  6. Step 6: Final answer
    x = 223,850.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.