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Finding the Third Proportional to 94,018.50 and 201,157.75

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Solution

The third proportional to 94,018.50 and 201,157.75 is: 430,388.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,018.50 : 201,157.75 = 201,157.75 : x
  2. Step 2: Convert to fraction form
    94,018.50/201,157.75 = 201,157.75/x
  3. Step 3: Cross multiply
    94,018.50x = 201,157.75 × 201,157.75
  4. Step 4: Simplify right side
    94,018.50x = 40,464,440,385.06
  5. Step 5: Solve for x
    x = 40,464,440,385.06/94,018.50
  6. Step 6: Final answer
    x = 430,388.07

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.