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Finding the Third Proportional to 91,742.75 and 193,459.75

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Solution

The third proportional to 91,742.75 and 193,459.75 is: 407,952.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,742.75 : 193,459.75 = 193,459.75 : x
  2. Step 2: Convert to fraction form
    91,742.75/193,459.75 = 193,459.75/x
  3. Step 3: Cross multiply
    91,742.75x = 193,459.75 × 193,459.75
  4. Step 4: Simplify right side
    91,742.75x = 37,426,674,870.06
  5. Step 5: Solve for x
    x = 37,426,674,870.06/91,742.75
  6. Step 6: Final answer
    x = 407,952.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.