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Finding the Third Proportional to 46,344.66 and 100,070.44

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Solution

The third proportional to 46,344.66 and 100,070.44 is: 216,078.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,344.66 : 100,070.44 = 100,070.44 : x
  2. Step 2: Convert to fraction form
    46,344.66/100,070.44 = 100,070.44/x
  3. Step 3: Cross multiply
    46,344.66x = 100,070.44 × 100,070.44
  4. Step 4: Simplify right side
    46,344.66x = 10,014,092,461.44
  5. Step 5: Solve for x
    x = 10,014,092,461.44/46,344.66
  6. Step 6: Final answer
    x = 216,078.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.