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Finding the Third Proportional to 98,645.63 and 213,890.63

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Solution

The third proportional to 98,645.63 and 213,890.63 is: 463,773.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,645.63 : 213,890.63 = 213,890.63 : x
  2. Step 2: Convert to fraction form
    98,645.63/213,890.63 = 213,890.63/x
  3. Step 3: Cross multiply
    98,645.63x = 213,890.63 × 213,890.63
  4. Step 4: Simplify right side
    98,645.63x = 45,749,199,462.89
  5. Step 5: Solve for x
    x = 45,749,199,462.89/98,645.63
  6. Step 6: Final answer
    x = 463,773.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.