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Finding the Third Proportional to 106,606.13 and 233,241.19

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Solution

The third proportional to 106,606.13 and 233,241.19 is: 510,303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,606.13 : 233,241.19 = 233,241.19 : x
  2. Step 2: Convert to fraction form
    106,606.13/233,241.19 = 233,241.19/x
  3. Step 3: Cross multiply
    106,606.13x = 233,241.19 × 233,241.19
  4. Step 4: Simplify right side
    106,606.13x = 54,401,451,546.41
  5. Step 5: Solve for x
    x = 54,401,451,546.41/106,606.13
  6. Step 6: Final answer
    x = 510,303.25

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.