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Finding the Third Proportional to 46,270.50 and 96,175.50

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Solution

The third proportional to 46,270.50 and 96,175.50 is: 199,905.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,270.50 : 96,175.50 = 96,175.50 : x
  2. Step 2: Convert to fraction form
    46,270.50/96,175.50 = 96,175.50/x
  3. Step 3: Cross multiply
    46,270.50x = 96,175.50 × 96,175.50
  4. Step 4: Simplify right side
    46,270.50x = 9,249,726,800.25
  5. Step 5: Solve for x
    x = 9,249,726,800.25/46,270.50
  6. Step 6: Final answer
    x = 199,905.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.