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Finding the Third Proportional to 95,378.50 and 203,798

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Solution

The third proportional to 95,378.50 and 203,798 is: 435,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,378.50 : 203,798 = 203,798 : x
  2. Step 2: Convert to fraction form
    95,378.50/203,798 = 203,798/x
  3. Step 3: Cross multiply
    95,378.50x = 203,798 × 203,798
  4. Step 4: Simplify right side
    95,378.50x = 41,533,624,804
  5. Step 5: Solve for x
    x = 41,533,624,804/95,378.50
  6. Step 6: Final answer
    x = 435,461.08

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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.