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Finding the Third Proportional to 114,190,827 and 171,321,243

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Solution

The third proportional to 114,190,827 and 171,321,243 is: 257,034,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,190,827 : 171,321,243 = 171,321,243 : x
  2. Step 2: Convert to fraction form
    114,190,827/171,321,243 = 171,321,243/x
  3. Step 3: Cross multiply
    114,190,827x = 171,321,243 × 171,321,243
  4. Step 4: Simplify right side
    114,190,827x = 29,350,968,303,065,048
  5. Step 5: Solve for x
    x = 29,350,968,303,065,048/114,190,827
  6. Step 6: Final answer
    x = 257,034,378.98

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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.