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Finding the Third Proportional to 97,462 and 209,964

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Solution

The third proportional to 97,462 and 209,964 is: 452,328.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,462 : 209,964 = 209,964 : x
  2. Step 2: Convert to fraction form
    97,462/209,964 = 209,964/x
  3. Step 3: Cross multiply
    97,462x = 209,964 × 209,964
  4. Step 4: Simplify right side
    97,462x = 44,084,881,296
  5. Step 5: Solve for x
    x = 44,084,881,296/97,462
  6. Step 6: Final answer
    x = 452,328.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.