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Finding the Third Proportional to 46,332 and 101,133

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Solution

The third proportional to 46,332 and 101,133 is: 220,752.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,332 : 101,133 = 101,133 : x
  2. Step 2: Convert to fraction form
    46,332/101,133 = 101,133/x
  3. Step 3: Cross multiply
    46,332x = 101,133 × 101,133
  4. Step 4: Simplify right side
    46,332x = 10,227,883,689
  5. Step 5: Solve for x
    x = 10,227,883,689/46,332
  6. Step 6: Final answer
    x = 220,752.04

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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.