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Finding the Third Proportional to 136,903.21 and 299,573.08

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Solution

The third proportional to 136,903.21 and 299,573.08 is: 655,529.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,903.21 : 299,573.08 = 299,573.08 : x
  2. Step 2: Convert to fraction form
    136,903.21/299,573.08 = 299,573.08/x
  3. Step 3: Cross multiply
    136,903.21x = 299,573.08 × 299,573.08
  4. Step 4: Simplify right side
    136,903.21x = 89,744,031,185.15
  5. Step 5: Solve for x
    x = 89,744,031,185.15/136,903.21
  6. Step 6: Final answer
    x = 655,529.05

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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.