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Finding the Third Proportional to 117,201,616 and 172,414,768

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Solution

The third proportional to 117,201,616 and 172,414,768 is: 253,638,586.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,201,616 : 172,414,768 = 172,414,768 : x
  2. Step 2: Convert to fraction form
    117,201,616/172,414,768 = 172,414,768/x
  3. Step 3: Cross multiply
    117,201,616x = 172,414,768 × 172,414,768
  4. Step 4: Simplify right side
    117,201,616x = 29,726,852,224,493,824
  5. Step 5: Solve for x
    x = 29,726,852,224,493,824/117,201,616
  6. Step 6: Final answer
    x = 253,638,586.56

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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.