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Finding the Third Proportional to 158,309,904 and 242,172,896

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Solution

The third proportional to 158,309,904 and 242,172,896 is: 370,461,418.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,309,904 : 242,172,896 = 242,172,896 : x
  2. Step 2: Convert to fraction form
    158,309,904/242,172,896 = 242,172,896/x
  3. Step 3: Cross multiply
    158,309,904x = 242,172,896 × 242,172,896
  4. Step 4: Simplify right side
    158,309,904x = 58,647,711,557,026,816
  5. Step 5: Solve for x
    x = 58,647,711,557,026,816/158,309,904
  6. Step 6: Final answer
    x = 370,461,418.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.