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Finding the Third Proportional to 101,740.50 and 216,603

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Solution

The third proportional to 101,740.50 and 216,603 is: 461,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,740.50 : 216,603 = 216,603 : x
  2. Step 2: Convert to fraction form
    101,740.50/216,603 = 216,603/x
  3. Step 3: Cross multiply
    101,740.50x = 216,603 × 216,603
  4. Step 4: Simplify right side
    101,740.50x = 46,916,859,609
  5. Step 5: Solve for x
    x = 46,916,859,609/101,740.50
  6. Step 6: Final answer
    x = 461,142.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.