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Finding the Third Proportional to 97,238.25 and 201,226.50

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Solution

The third proportional to 97,238.25 and 201,226.50 is: 416,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,238.25 : 201,226.50 = 201,226.50 : x
  2. Step 2: Convert to fraction form
    97,238.25/201,226.50 = 201,226.50/x
  3. Step 3: Cross multiply
    97,238.25x = 201,226.50 × 201,226.50
  4. Step 4: Simplify right side
    97,238.25x = 40,492,104,302.25
  5. Step 5: Solve for x
    x = 40,492,104,302.25/97,238.25
  6. Step 6: Final answer
    x = 416,421.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.