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Finding the Third Proportional to 97,564.50 and 202,783.50

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Solution

The third proportional to 97,564.50 and 202,783.50 is: 421,476.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,564.50 : 202,783.50 = 202,783.50 : x
  2. Step 2: Convert to fraction form
    97,564.50/202,783.50 = 202,783.50/x
  3. Step 3: Cross multiply
    97,564.50x = 202,783.50 × 202,783.50
  4. Step 4: Simplify right side
    97,564.50x = 41,121,147,872.25
  5. Step 5: Solve for x
    x = 41,121,147,872.25/97,564.50
  6. Step 6: Final answer
    x = 421,476.54

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