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Finding the Third Proportional to 96,604 and 210,391

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Solution

The third proportional to 96,604 and 210,391 is: 458,204.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,604 : 210,391 = 210,391 : x
  2. Step 2: Convert to fraction form
    96,604/210,391 = 210,391/x
  3. Step 3: Cross multiply
    96,604x = 210,391 × 210,391
  4. Step 4: Simplify right side
    96,604x = 44,264,372,881
  5. Step 5: Solve for x
    x = 44,264,372,881/96,604
  6. Step 6: Final answer
    x = 458,204.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.