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Finding the Third Proportional to 99,661.21 and 153,898.38

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Solution

The third proportional to 99,661.21 and 153,898.38 is: 237,652.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,661.21 : 153,898.38 = 153,898.38 : x
  2. Step 2: Convert to fraction form
    99,661.21/153,898.38 = 153,898.38/x
  3. Step 3: Cross multiply
    99,661.21x = 153,898.38 × 153,898.38
  4. Step 4: Simplify right side
    99,661.21x = 23,684,710,879.68
  5. Step 5: Solve for x
    x = 23,684,710,879.68/99,661.21
  6. Step 6: Final answer
    x = 237,652.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.