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Finding the Third Proportional to 96,116 and 210,326

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Solution

The third proportional to 96,116 and 210,326 is: 460,246.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,116 : 210,326 = 210,326 : x
  2. Step 2: Convert to fraction form
    96,116/210,326 = 210,326/x
  3. Step 3: Cross multiply
    96,116x = 210,326 × 210,326
  4. Step 4: Simplify right side
    96,116x = 44,237,026,276
  5. Step 5: Solve for x
    x = 44,237,026,276/96,116
  6. Step 6: Final answer
    x = 460,246.23

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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.