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Finding the Third Proportional to 91,303.50 and 197,187

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Solution

The third proportional to 91,303.50 and 197,187 is: 425,862.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,303.50 : 197,187 = 197,187 : x
  2. Step 2: Convert to fraction form
    91,303.50/197,187 = 197,187/x
  3. Step 3: Cross multiply
    91,303.50x = 197,187 × 197,187
  4. Step 4: Simplify right side
    91,303.50x = 38,882,712,969
  5. Step 5: Solve for x
    x = 38,882,712,969/91,303.50
  6. Step 6: Final answer
    x = 425,862.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.