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Finding the Third Proportional to 98,673.38 and 213,131.63

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Solution

The third proportional to 98,673.38 and 213,131.63 is: 460,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,673.38 : 213,131.63 = 213,131.63 : x
  2. Step 2: Convert to fraction form
    98,673.38/213,131.63 = 213,131.63/x
  3. Step 3: Cross multiply
    98,673.38x = 213,131.63 × 213,131.63
  4. Step 4: Simplify right side
    98,673.38x = 45,425,089,575.14
  5. Step 5: Solve for x
    x = 45,425,089,575.14/98,673.38
  6. Step 6: Final answer
    x = 460,358.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.