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Finding the Third Proportional to 99,466.50 and 203,528.50

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Solution

The third proportional to 99,466.50 and 203,528.50 is: 416,460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,466.50 : 203,528.50 = 203,528.50 : x
  2. Step 2: Convert to fraction form
    99,466.50/203,528.50 = 203,528.50/x
  3. Step 3: Cross multiply
    99,466.50x = 203,528.50 × 203,528.50
  4. Step 4: Simplify right side
    99,466.50x = 41,423,850,312.25
  5. Step 5: Solve for x
    x = 41,423,850,312.25/99,466.50
  6. Step 6: Final answer
    x = 416,460.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.