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Finding the Third Proportional to 117,135,639,713 and 164,952,792,664

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Solution

The third proportional to 117,135,639,713 and 164,952,792,664 is: 232,289,880,981.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,135,639,713 : 164,952,792,664 = 164,952,792,664 : x
  2. Step 2: Convert to fraction form
    117,135,639,713/164,952,792,664 = 164,952,792,664/x
  3. Step 3: Cross multiply
    117,135,639,713x = 164,952,792,664 × 164,952,792,664
  4. Step 4: Simplify right side
    117,135,639,713x = 27,209,423,807,652,573,478,912
  5. Step 5: Solve for x
    x = 27,209,423,807,652,573,478,912/117,135,639,713
  6. Step 6: Final answer
    x = 232,289,880,981.74

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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.