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Finding the Third Proportional to 96,102 and 210,307

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Solution

The third proportional to 96,102 and 210,307 is: 460,230.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,102 : 210,307 = 210,307 : x
  2. Step 2: Convert to fraction form
    96,102/210,307 = 210,307/x
  3. Step 3: Cross multiply
    96,102x = 210,307 × 210,307
  4. Step 4: Simplify right side
    96,102x = 44,229,034,249
  5. Step 5: Solve for x
    x = 44,229,034,249/96,102
  6. Step 6: Final answer
    x = 460,230.11

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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.