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Finding the Third Proportional to 97,041.80 and 211,169.53

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Solution

The third proportional to 97,041.80 and 211,169.53 is: 459,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,041.80 : 211,169.53 = 211,169.53 : x
  2. Step 2: Convert to fraction form
    97,041.80/211,169.53 = 211,169.53/x
  3. Step 3: Cross multiply
    97,041.80x = 211,169.53 × 211,169.53
  4. Step 4: Simplify right side
    97,041.80x = 44,592,570,928.34
  5. Step 5: Solve for x
    x = 44,592,570,928.34/97,041.80
  6. Step 6: Final answer
    x = 459,519.22

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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.