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Finding the Third Proportional to 97,048.13 and 211,182.19

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Solution

The third proportional to 97,048.13 and 211,182.19 is: 459,544.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,048.13 : 211,182.19 = 211,182.19 : x
  2. Step 2: Convert to fraction form
    97,048.13/211,182.19 = 211,182.19/x
  3. Step 3: Cross multiply
    97,048.13x = 211,182.19 × 211,182.19
  4. Step 4: Simplify right side
    97,048.13x = 44,597,916,317.29
  5. Step 5: Solve for x
    x = 44,597,916,317.29/97,048.13
  6. Step 6: Final answer
    x = 459,544.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.