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Finding the Third Proportional to 209,189.81 and 457,259.63

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Solution

The third proportional to 209,189.81 and 457,259.63 is: 999,505.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,189.81 : 457,259.63 = 457,259.63 : x
  2. Step 2: Convert to fraction form
    209,189.81/457,259.63 = 457,259.63/x
  3. Step 3: Cross multiply
    209,189.81x = 457,259.63 × 457,259.63
  4. Step 4: Simplify right side
    209,189.81x = 209,086,364,655.14
  5. Step 5: Solve for x
    x = 209,086,364,655.14/209,189.81
  6. Step 6: Final answer
    x = 999,505.48

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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.