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Finding the Third Proportional to 44,319 and 94,865

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Solution

The third proportional to 44,319 and 94,865 is: 203,058.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,319 : 94,865 = 94,865 : x
  2. Step 2: Convert to fraction form
    44,319/94,865 = 94,865/x
  3. Step 3: Cross multiply
    44,319x = 94,865 × 94,865
  4. Step 4: Simplify right side
    44,319x = 8,999,368,225
  5. Step 5: Solve for x
    x = 8,999,368,225/44,319
  6. Step 6: Final answer
    x = 203,058.92

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