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Finding the Third Proportional to 99,545.63 and 214,926.75

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Solution

The third proportional to 99,545.63 and 214,926.75 is: 464,043.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,545.63 : 214,926.75 = 214,926.75 : x
  2. Step 2: Convert to fraction form
    99,545.63/214,926.75 = 214,926.75/x
  3. Step 3: Cross multiply
    99,545.63x = 214,926.75 × 214,926.75
  4. Step 4: Simplify right side
    99,545.63x = 46,193,507,865.56
  5. Step 5: Solve for x
    x = 46,193,507,865.56/99,545.63
  6. Step 6: Final answer
    x = 464,043.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.