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Finding the Third Proportional to 94,588 and 207,603

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Solution

The third proportional to 94,588 and 207,603 is: 455,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,588 : 207,603 = 207,603 : x
  2. Step 2: Convert to fraction form
    94,588/207,603 = 207,603/x
  3. Step 3: Cross multiply
    94,588x = 207,603 × 207,603
  4. Step 4: Simplify right side
    94,588x = 43,099,005,609
  5. Step 5: Solve for x
    x = 43,099,005,609/94,588
  6. Step 6: Final answer
    x = 455,649.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.