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Finding the Third Proportional to 97,205.06 and 201,158.44

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Solution

The third proportional to 97,205.06 and 201,158.44 is: 416,281.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,205.06 : 201,158.44 = 201,158.44 : x
  2. Step 2: Convert to fraction form
    97,205.06/201,158.44 = 201,158.44/x
  3. Step 3: Cross multiply
    97,205.06x = 201,158.44 × 201,158.44
  4. Step 4: Simplify right side
    97,205.06x = 40,464,716,977.44
  5. Step 5: Solve for x
    x = 40,464,716,977.44/97,205.06
  6. Step 6: Final answer
    x = 416,281.99

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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.