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Finding the Third Proportional to 112,806,941,882 and 170,661,264,663

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Solution

The third proportional to 112,806,941,882 and 170,661,264,663 is: 258,186,834,697.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,806,941,882 : 170,661,264,663 = 170,661,264,663 : x
  2. Step 2: Convert to fraction form
    112,806,941,882/170,661,264,663 = 170,661,264,663/x
  3. Step 3: Cross multiply
    112,806,941,882x = 170,661,264,663 × 170,661,264,663
  4. Step 4: Simplify right side
    112,806,941,882x = 29,125,267,256,374,533,816,320
  5. Step 5: Solve for x
    x = 29,125,267,256,374,533,816,320/112,806,941,882
  6. Step 6: Final answer
    x = 258,186,834,697.11

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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.