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Finding the Third Proportional to 97,911 and 214,479

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Solution

The third proportional to 97,911 and 214,479 is: 469,827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,911 : 214,479 = 214,479 : x
  2. Step 2: Convert to fraction form
    97,911/214,479 = 214,479/x
  3. Step 3: Cross multiply
    97,911x = 214,479 × 214,479
  4. Step 4: Simplify right side
    97,911x = 46,001,241,441
  5. Step 5: Solve for x
    x = 46,001,241,441/97,911
  6. Step 6: Final answer
    x = 469,827.10

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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.