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Finding the Third Proportional to 180,605,953 and 395,716,205

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Solution

The third proportional to 180,605,953 and 395,716,205 is: 867,032,964.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,605,953 : 395,716,205 = 395,716,205 : x
  2. Step 2: Convert to fraction form
    180,605,953/395,716,205 = 395,716,205/x
  3. Step 3: Cross multiply
    180,605,953x = 395,716,205 × 395,716,205
  4. Step 4: Simplify right side
    180,605,953x = 156,591,314,899,602,016
  5. Step 5: Solve for x
    x = 156,591,314,899,602,016/180,605,953
  6. Step 6: Final answer
    x = 867,032,964.85

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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.