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Finding the Third Proportional to 99,732 and 215,316

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Solution

The third proportional to 99,732 and 215,316 is: 464,855.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,732 : 215,316 = 215,316 : x
  2. Step 2: Convert to fraction form
    99,732/215,316 = 215,316/x
  3. Step 3: Cross multiply
    99,732x = 215,316 × 215,316
  4. Step 4: Simplify right side
    99,732x = 46,360,979,856
  5. Step 5: Solve for x
    x = 46,360,979,856/99,732
  6. Step 6: Final answer
    x = 464,855.61

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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.