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Finding the Third Proportional to 46,202 and 99,310

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Solution

The third proportional to 46,202 and 99,310 is: 213,464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,202 : 99,310 = 99,310 : x
  2. Step 2: Convert to fraction form
    46,202/99,310 = 99,310/x
  3. Step 3: Cross multiply
    46,202x = 99,310 × 99,310
  4. Step 4: Simplify right side
    46,202x = 9,862,476,100
  5. Step 5: Solve for x
    x = 9,862,476,100/46,202
  6. Step 6: Final answer
    x = 213,464.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.