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Finding the Third Proportional to 117,135,639,726 and 164,952,792,676

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Solution

The third proportional to 117,135,639,726 and 164,952,792,676 is: 232,289,880,989.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,135,639,726 : 164,952,792,676 = 164,952,792,676 : x
  2. Step 2: Convert to fraction form
    117,135,639,726/164,952,792,676 = 164,952,792,676/x
  3. Step 3: Cross multiply
    117,135,639,726x = 164,952,792,676 × 164,952,792,676
  4. Step 4: Simplify right side
    117,135,639,726x = 27,209,423,811,611,438,612,480
  5. Step 5: Solve for x
    x = 27,209,423,811,611,438,612,480/117,135,639,726
  6. Step 6: Final answer
    x = 232,289,880,989.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.