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Finding the Third Proportional to 96,160 and 210,416

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Solution

The third proportional to 96,160 and 210,416 is: 460,429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,160 : 210,416 = 210,416 : x
  2. Step 2: Convert to fraction form
    96,160/210,416 = 210,416/x
  3. Step 3: Cross multiply
    96,160x = 210,416 × 210,416
  4. Step 4: Simplify right side
    96,160x = 44,274,893,056
  5. Step 5: Solve for x
    x = 44,274,893,056/96,160
  6. Step 6: Final answer
    x = 460,429.42

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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.