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Finding the Third Proportional to 97,631.75 and 203,038.50

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Solution

The third proportional to 97,631.75 and 203,038.50 is: 422,246.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,631.75 : 203,038.50 = 203,038.50 : x
  2. Step 2: Convert to fraction form
    97,631.75/203,038.50 = 203,038.50/x
  3. Step 3: Cross multiply
    97,631.75x = 203,038.50 × 203,038.50
  4. Step 4: Simplify right side
    97,631.75x = 41,224,632,482.25
  5. Step 5: Solve for x
    x = 41,224,632,482.25/97,631.75
  6. Step 6: Final answer
    x = 422,246.17

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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.