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Finding the Third Proportional to 167,773,121,072 and 368,027,982,400

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Solution

The third proportional to 167,773,121,072 and 368,027,982,400 is: 807,308,077,503.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,773,121,072 : 368,027,982,400 = 368,027,982,400 : x
  2. Step 2: Convert to fraction form
    167,773,121,072/368,027,982,400 = 368,027,982,400/x
  3. Step 3: Cross multiply
    167,773,121,072x = 368,027,982,400 × 368,027,982,400
  4. Step 4: Simplify right side
    167,773,121,072x = 135,444,595,829,414,704,447,488
  5. Step 5: Solve for x
    x = 135,444,595,829,414,704,447,488/167,773,121,072
  6. Step 6: Final answer
    x = 807,308,077,503.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.