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Finding the Third Proportional to 179,347,946,378 and 395,252,716,135

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Solution

The third proportional to 179,347,946,378 and 395,252,716,135 is: 871,070,523,901.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,347,946,378 : 395,252,716,135 = 395,252,716,135 : x
  2. Step 2: Convert to fraction form
    179,347,946,378/395,252,716,135 = 395,252,716,135/x
  3. Step 3: Cross multiply
    179,347,946,378x = 395,252,716,135 × 395,252,716,135
  4. Step 4: Simplify right side
    179,347,946,378x = 156,224,709,612,094,902,763,520
  5. Step 5: Solve for x
    x = 156,224,709,612,094,902,763,520/179,347,946,378
  6. Step 6: Final answer
    x = 871,070,523,901.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.