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Finding the Third Proportional to 193,595.63 and 415,215.94

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Solution

The third proportional to 193,595.63 and 415,215.94 is: 890,538.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,595.63 : 415,215.94 = 415,215.94 : x
  2. Step 2: Convert to fraction form
    193,595.63/415,215.94 = 415,215.94/x
  3. Step 3: Cross multiply
    193,595.63x = 415,215.94 × 415,215.94
  4. Step 4: Simplify right side
    193,595.63x = 172,404,274,754.00
  5. Step 5: Solve for x
    x = 172,404,274,754.00/193,595.63
  6. Step 6: Final answer
    x = 890,538.07

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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.