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Finding the Third Proportional to 97,438.50 and 220,080.94

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Solution

The third proportional to 97,438.50 and 220,080.94 is: 497,089.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,438.50 : 220,080.94 = 220,080.94 : x
  2. Step 2: Convert to fraction form
    97,438.50/220,080.94 = 220,080.94/x
  3. Step 3: Cross multiply
    97,438.50x = 220,080.94 × 220,080.94
  4. Step 4: Simplify right side
    97,438.50x = 48,435,619,050.88
  5. Step 5: Solve for x
    x = 48,435,619,050.88/97,438.50
  6. Step 6: Final answer
    x = 497,089.13

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.