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Finding the Third Proportional to 97,464.50 and 202,590

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Solution

The third proportional to 97,464.50 and 202,590 is: 421,104.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,464.50 : 202,590 = 202,590 : x
  2. Step 2: Convert to fraction form
    97,464.50/202,590 = 202,590/x
  3. Step 3: Cross multiply
    97,464.50x = 202,590 × 202,590
  4. Step 4: Simplify right side
    97,464.50x = 41,042,708,100
  5. Step 5: Solve for x
    x = 41,042,708,100/97,464.50
  6. Step 6: Final answer
    x = 421,104.18

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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.