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Finding the Third Proportional to 99,262 and 216,370.50

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Solution

The third proportional to 99,262 and 216,370.50 is: 471,642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,262 : 216,370.50 = 216,370.50 : x
  2. Step 2: Convert to fraction form
    99,262/216,370.50 = 216,370.50/x
  3. Step 3: Cross multiply
    99,262x = 216,370.50 × 216,370.50
  4. Step 4: Simplify right side
    99,262x = 46,816,193,270.25
  5. Step 5: Solve for x
    x = 46,816,193,270.25/99,262
  6. Step 6: Final answer
    x = 471,642.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.