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Finding the Third Proportional to 99,144 and 216,148.50

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Solution

The third proportional to 99,144 and 216,148.50 is: 471,235.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,144 : 216,148.50 = 216,148.50 : x
  2. Step 2: Convert to fraction form
    99,144/216,148.50 = 216,148.50/x
  3. Step 3: Cross multiply
    99,144x = 216,148.50 × 216,148.50
  4. Step 4: Simplify right side
    99,144x = 46,720,174,052.25
  5. Step 5: Solve for x
    x = 46,720,174,052.25/99,144
  6. Step 6: Final answer
    x = 471,235.52

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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.