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Finding the Third Proportional to 117,205,792 and 172,300,736

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Solution

The third proportional to 117,205,792 and 172,300,736 is: 253,294,168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,205,792 : 172,300,736 = 172,300,736 : x
  2. Step 2: Convert to fraction form
    117,205,792/172,300,736 = 172,300,736/x
  3. Step 3: Cross multiply
    117,205,792x = 172,300,736 × 172,300,736
  4. Step 4: Simplify right side
    117,205,792x = 29,687,543,626,141,696
  5. Step 5: Solve for x
    x = 29,687,543,626,141,696/117,205,792
  6. Step 6: Final answer
    x = 253,294,168.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.