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Finding the Third Proportional to 46,713 and 101,201.50

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Solution

The third proportional to 46,713 and 101,201.50 is: 219,248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,713 : 101,201.50 = 101,201.50 : x
  2. Step 2: Convert to fraction form
    46,713/101,201.50 = 101,201.50/x
  3. Step 3: Cross multiply
    46,713x = 101,201.50 × 101,201.50
  4. Step 4: Simplify right side
    46,713x = 10,241,743,602.25
  5. Step 5: Solve for x
    x = 10,241,743,602.25/46,713
  6. Step 6: Final answer
    x = 219,248.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.