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Finding the Third Proportional to 46,410 and 101,100

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Solution

The third proportional to 46,410 and 101,100 is: 220,237.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,410 : 101,100 = 101,100 : x
  2. Step 2: Convert to fraction form
    46,410/101,100 = 101,100/x
  3. Step 3: Cross multiply
    46,410x = 101,100 × 101,100
  4. Step 4: Simplify right side
    46,410x = 10,221,210,000
  5. Step 5: Solve for x
    x = 10,221,210,000/46,410
  6. Step 6: Final answer
    x = 220,237.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.