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Finding the Third Proportional to 46,444.50 and 99,452.25

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Solution

The third proportional to 46,444.50 and 99,452.25 is: 212,958.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,444.50 : 99,452.25 = 99,452.25 : x
  2. Step 2: Convert to fraction form
    46,444.50/99,452.25 = 99,452.25/x
  3. Step 3: Cross multiply
    46,444.50x = 99,452.25 × 99,452.25
  4. Step 4: Simplify right side
    46,444.50x = 9,890,750,030.06
  5. Step 5: Solve for x
    x = 9,890,750,030.06/46,444.50
  6. Step 6: Final answer
    x = 212,958.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.