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Finding the Third Proportional to 46,243.50 and 99,399

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Solution

The third proportional to 46,243.50 and 99,399 is: 213,655.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,243.50 : 99,399 = 99,399 : x
  2. Step 2: Convert to fraction form
    46,243.50/99,399 = 99,399/x
  3. Step 3: Cross multiply
    46,243.50x = 99,399 × 99,399
  4. Step 4: Simplify right side
    46,243.50x = 9,880,161,201
  5. Step 5: Solve for x
    x = 9,880,161,201/46,243.50
  6. Step 6: Final answer
    x = 213,655.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.