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Finding the Third Proportional to 46,400 and 99,360

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Solution

The third proportional to 46,400 and 99,360 is: 212,767.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,400 : 99,360 = 99,360 : x
  2. Step 2: Convert to fraction form
    46,400/99,360 = 99,360/x
  3. Step 3: Cross multiply
    46,400x = 99,360 × 99,360
  4. Step 4: Simplify right side
    46,400x = 9,872,409,600
  5. Step 5: Solve for x
    x = 9,872,409,600/46,400
  6. Step 6: Final answer
    x = 212,767.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.