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Finding the Third Proportional to 90,465.50 and 197,697.50

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Solution

The third proportional to 90,465.50 and 197,697.50 is: 432,035.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,465.50 : 197,697.50 = 197,697.50 : x
  2. Step 2: Convert to fraction form
    90,465.50/197,697.50 = 197,697.50/x
  3. Step 3: Cross multiply
    90,465.50x = 197,697.50 × 197,697.50
  4. Step 4: Simplify right side
    90,465.50x = 39,084,301,506.25
  5. Step 5: Solve for x
    x = 39,084,301,506.25/90,465.50
  6. Step 6: Final answer
    x = 432,035.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.