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Finding the Third Proportional to 160,991,844 and 251,053,712

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Solution

The third proportional to 160,991,844 and 251,053,712 is: 391,497,884.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,991,844 : 251,053,712 = 251,053,712 : x
  2. Step 2: Convert to fraction form
    160,991,844/251,053,712 = 251,053,712/x
  3. Step 3: Cross multiply
    160,991,844x = 251,053,712 × 251,053,712
  4. Step 4: Simplify right side
    160,991,844x = 63,027,966,308,978,944
  5. Step 5: Solve for x
    x = 63,027,966,308,978,944/160,991,844
  6. Step 6: Final answer
    x = 391,497,884.26

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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.