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Finding the Third Proportional to 97,465 and 202,592

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Solution

The third proportional to 97,465 and 202,592 is: 421,110.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,465 : 202,592 = 202,592 : x
  2. Step 2: Convert to fraction form
    97,465/202,592 = 202,592/x
  3. Step 3: Cross multiply
    97,465x = 202,592 × 202,592
  4. Step 4: Simplify right side
    97,465x = 41,043,518,464
  5. Step 5: Solve for x
    x = 41,043,518,464/97,465
  6. Step 6: Final answer
    x = 421,110.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.