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Finding the Third Proportional to 160,991,824 and 251,053,664

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Solution

The third proportional to 160,991,824 and 251,053,664 is: 391,497,783.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,991,824 : 251,053,664 = 251,053,664 : x
  2. Step 2: Convert to fraction form
    160,991,824/251,053,664 = 251,053,664/x
  3. Step 3: Cross multiply
    160,991,824x = 251,053,664 × 251,053,664
  4. Step 4: Simplify right side
    160,991,824x = 63,027,942,207,824,896
  5. Step 5: Solve for x
    x = 63,027,942,207,824,896/160,991,824
  6. Step 6: Final answer
    x = 391,497,783.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.