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Finding the Third Proportional to 94,901.63 and 200,383.88

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Solution

The third proportional to 94,901.63 and 200,383.88 is: 423,108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,901.63 : 200,383.88 = 200,383.88 : x
  2. Step 2: Convert to fraction form
    94,901.63/200,383.88 = 200,383.88/x
  3. Step 3: Cross multiply
    94,901.63x = 200,383.88 × 200,383.88
  4. Step 4: Simplify right side
    94,901.63x = 40,153,697,360.02
  5. Step 5: Solve for x
    x = 40,153,697,360.02/94,901.63
  6. Step 6: Final answer
    x = 423,108.64

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.