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Finding the Third Proportional to 114,190,823.25 and 171,321,237

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Solution

The third proportional to 114,190,823.25 and 171,321,237 is: 257,034,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,190,823.25 : 171,321,237 = 171,321,237 : x
  2. Step 2: Convert to fraction form
    114,190,823.25/171,321,237 = 171,321,237/x
  3. Step 3: Cross multiply
    114,190,823.25x = 171,321,237 × 171,321,237
  4. Step 4: Simplify right side
    114,190,823.25x = 29,350,966,247,210,168
  5. Step 5: Solve for x
    x = 29,350,966,247,210,168/114,190,823.25
  6. Step 6: Final answer
    x = 257,034,369.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.