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Finding the Third Proportional to 188,942,692,710 and 416,397,923,571

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Solution

The third proportional to 188,942,692,710 and 416,397,923,571 is: 917,671,005,252.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,942,692,710 : 416,397,923,571 = 416,397,923,571 : x
  2. Step 2: Convert to fraction form
    188,942,692,710/416,397,923,571 = 416,397,923,571/x
  3. Step 3: Cross multiply
    188,942,692,710x = 416,397,923,571 × 416,397,923,571
  4. Step 4: Simplify right side
    188,942,692,710x = 173,387,230,754,240,370,573,312
  5. Step 5: Solve for x
    x = 173,387,230,754,240,370,573,312/188,942,692,710
  6. Step 6: Final answer
    x = 917,671,005,252.19

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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.