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Finding the Third Proportional to 88,903.50 and 193,071

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Solution

The third proportional to 88,903.50 and 193,071 is: 419,290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,903.50 : 193,071 = 193,071 : x
  2. Step 2: Convert to fraction form
    88,903.50/193,071 = 193,071/x
  3. Step 3: Cross multiply
    88,903.50x = 193,071 × 193,071
  4. Step 4: Simplify right side
    88,903.50x = 37,276,411,041
  5. Step 5: Solve for x
    x = 37,276,411,041/88,903.50
  6. Step 6: Final answer
    x = 419,290.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.