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Finding the Third Proportional to 188,942,692,461 and 416,397,923,127

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Solution

The third proportional to 188,942,692,461 and 416,397,923,127 is: 917,671,004,504.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,942,692,461 : 416,397,923,127 = 416,397,923,127 : x
  2. Step 2: Convert to fraction form
    188,942,692,461/416,397,923,127 = 416,397,923,127/x
  3. Step 3: Cross multiply
    188,942,692,461x = 416,397,923,127 × 416,397,923,127
  4. Step 4: Simplify right side
    188,942,692,461x = 173,387,230,384,478,985,650,176
  5. Step 5: Solve for x
    x = 173,387,230,384,478,985,650,176/188,942,692,461
  6. Step 6: Final answer
    x = 917,671,004,504.54

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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.