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Finding the Third Proportional to 99,590.50 and 215,037

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Solution

The third proportional to 99,590.50 and 215,037 is: 464,310.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,590.50 : 215,037 = 215,037 : x
  2. Step 2: Convert to fraction form
    99,590.50/215,037 = 215,037/x
  3. Step 3: Cross multiply
    99,590.50x = 215,037 × 215,037
  4. Step 4: Simplify right side
    99,590.50x = 46,240,911,369
  5. Step 5: Solve for x
    x = 46,240,911,369/99,590.50
  6. Step 6: Final answer
    x = 464,310.47

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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.