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Finding the Third Proportional to 179,347,948,398 and 395,252,720,172

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Solution

The third proportional to 179,347,948,398 and 395,252,720,172 is: 871,070,531,884.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,347,948,398 : 395,252,720,172 = 395,252,720,172 : x
  2. Step 2: Convert to fraction form
    179,347,948,398/395,252,720,172 = 395,252,720,172/x
  3. Step 3: Cross multiply
    179,347,948,398x = 395,252,720,172 × 395,252,720,172
  4. Step 4: Simplify right side
    179,347,948,398x = 156,224,712,803,365,326,684,160
  5. Step 5: Solve for x
    x = 156,224,712,803,365,326,684,160/179,347,948,398
  6. Step 6: Final answer
    x = 871,070,531,884.09

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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.