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Finding the Third Proportional to 91,783.13 and 194,577.19

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Solution

The third proportional to 91,783.13 and 194,577.19 is: 412,497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,783.13 : 194,577.19 = 194,577.19 : x
  2. Step 2: Convert to fraction form
    91,783.13/194,577.19 = 194,577.19/x
  3. Step 3: Cross multiply
    91,783.13x = 194,577.19 × 194,577.19
  4. Step 4: Simplify right side
    91,783.13x = 37,860,281,895.41
  5. Step 5: Solve for x
    x = 37,860,281,895.41/91,783.13
  6. Step 6: Final answer
    x = 412,497.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.