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Finding the Third Proportional to 44,398 and 94,303

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Solution

The third proportional to 44,398 and 94,303 is: 200,303.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,398 : 94,303 = 94,303 : x
  2. Step 2: Convert to fraction form
    44,398/94,303 = 94,303/x
  3. Step 3: Cross multiply
    44,398x = 94,303 × 94,303
  4. Step 4: Simplify right side
    44,398x = 8,893,055,809
  5. Step 5: Solve for x
    x = 8,893,055,809/44,398
  6. Step 6: Final answer
    x = 200,303.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.