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Finding the Third Proportional to 112,806,941,880 and 170,661,264,660

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Solution

The third proportional to 112,806,941,880 and 170,661,264,660 is: 258,186,834,692.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,806,941,880 : 170,661,264,660 = 170,661,264,660 : x
  2. Step 2: Convert to fraction form
    112,806,941,880/170,661,264,660 = 170,661,264,660/x
  3. Step 3: Cross multiply
    112,806,941,880x = 170,661,264,660 × 170,661,264,660
  4. Step 4: Simplify right side
    112,806,941,880x = 29,125,267,255,350,565,797,888
  5. Step 5: Solve for x
    x = 29,125,267,255,350,565,797,888/112,806,941,880
  6. Step 6: Final answer
    x = 258,186,834,692.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.