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Finding the Third Proportional to 46,695 and 107,989.50

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Solution

The third proportional to 46,695 and 107,989.50 is: 249,742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,695 : 107,989.50 = 107,989.50 : x
  2. Step 2: Convert to fraction form
    46,695/107,989.50 = 107,989.50/x
  3. Step 3: Cross multiply
    46,695x = 107,989.50 × 107,989.50
  4. Step 4: Simplify right side
    46,695x = 11,661,732,110.25
  5. Step 5: Solve for x
    x = 11,661,732,110.25/46,695
  6. Step 6: Final answer
    x = 249,742.63

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.