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Finding the Third Proportional to 45,901.50 and 97,315

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Solution

The third proportional to 45,901.50 and 97,315 is: 206,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,901.50 : 97,315 = 97,315 : x
  2. Step 2: Convert to fraction form
    45,901.50/97,315 = 97,315/x
  3. Step 3: Cross multiply
    45,901.50x = 97,315 × 97,315
  4. Step 4: Simplify right side
    45,901.50x = 9,470,209,225
  5. Step 5: Solve for x
    x = 9,470,209,225/45,901.50
  6. Step 6: Final answer
    x = 206,315.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.