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Finding the Third Proportional to 46,988 and 97,863.75

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Solution

The third proportional to 46,988 and 97,863.75 is: 203,824.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,988 : 97,863.75 = 97,863.75 : x
  2. Step 2: Convert to fraction form
    46,988/97,863.75 = 97,863.75/x
  3. Step 3: Cross multiply
    46,988x = 97,863.75 × 97,863.75
  4. Step 4: Simplify right side
    46,988x = 9,577,313,564.06
  5. Step 5: Solve for x
    x = 9,577,313,564.06/46,988
  6. Step 6: Final answer
    x = 203,824.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.