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Finding the Third Proportional to 46,460 and 102,298

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Solution

The third proportional to 46,460 and 102,298 is: 225,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,460 : 102,298 = 102,298 : x
  2. Step 2: Convert to fraction form
    46,460/102,298 = 102,298/x
  3. Step 3: Cross multiply
    46,460x = 102,298 × 102,298
  4. Step 4: Simplify right side
    46,460x = 10,464,880,804
  5. Step 5: Solve for x
    x = 10,464,880,804/46,460
  6. Step 6: Final answer
    x = 225,244.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.