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Finding the Third Proportional to 97,493.63 and 202,641.75

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Solution

The third proportional to 97,493.63 and 202,641.75 is: 421,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,493.63 : 202,641.75 = 202,641.75 : x
  2. Step 2: Convert to fraction form
    97,493.63/202,641.75 = 202,641.75/x
  3. Step 3: Cross multiply
    97,493.63x = 202,641.75 × 202,641.75
  4. Step 4: Simplify right side
    97,493.63x = 41,063,678,843.06
  5. Step 5: Solve for x
    x = 41,063,678,843.06/97,493.63
  6. Step 6: Final answer
    x = 421,193.48

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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.