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Finding the Third Proportional to 46,791 and 101,465

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Solution

The third proportional to 46,791 and 101,465 is: 220,024.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,791 : 101,465 = 101,465 : x
  2. Step 2: Convert to fraction form
    46,791/101,465 = 101,465/x
  3. Step 3: Cross multiply
    46,791x = 101,465 × 101,465
  4. Step 4: Simplify right side
    46,791x = 10,295,146,225
  5. Step 5: Solve for x
    x = 10,295,146,225/46,791
  6. Step 6: Final answer
    x = 220,024.07

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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.