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Finding the Third Proportional to 178,331,838 and 251,130,525

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Solution

The third proportional to 178,331,838 and 251,130,525 is: 353,647,118.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,331,838 : 251,130,525 = 251,130,525 : x
  2. Step 2: Convert to fraction form
    178,331,838/251,130,525 = 251,130,525/x
  3. Step 3: Cross multiply
    178,331,838x = 251,130,525 × 251,130,525
  4. Step 4: Simplify right side
    178,331,838x = 63,066,540,586,775,624
  5. Step 5: Solve for x
    x = 63,066,540,586,775,624/178,331,838
  6. Step 6: Final answer
    x = 353,647,118.17

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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.