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Finding the Third Proportional to 46,354.50 and 101,254.50

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Solution

The third proportional to 46,354.50 and 101,254.50 is: 221,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,354.50 : 101,254.50 = 101,254.50 : x
  2. Step 2: Convert to fraction form
    46,354.50/101,254.50 = 101,254.50/x
  3. Step 3: Cross multiply
    46,354.50x = 101,254.50 × 101,254.50
  4. Step 4: Simplify right side
    46,354.50x = 10,252,473,770.25
  5. Step 5: Solve for x
    x = 10,252,473,770.25/46,354.50
  6. Step 6: Final answer
    x = 221,175.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.