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Finding the Third Proportional to 112,806,941,884 and 170,661,264,665

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Solution

The third proportional to 112,806,941,884 and 170,661,264,665 is: 258,186,834,698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,806,941,884 : 170,661,264,665 = 170,661,264,665 : x
  2. Step 2: Convert to fraction form
    112,806,941,884/170,661,264,665 = 170,661,264,665/x
  3. Step 3: Cross multiply
    112,806,941,884x = 170,661,264,665 × 170,661,264,665
  4. Step 4: Simplify right side
    112,806,941,884x = 29,125,267,257,057,177,763,840
  5. Step 5: Solve for x
    x = 29,125,267,257,057,177,763,840/112,806,941,884
  6. Step 6: Final answer
    x = 258,186,834,698.59

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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.