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Finding the Third Proportional to 158,085,714 and 342,560,796

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Solution

The third proportional to 158,085,714 and 342,560,796 is: 742,305,525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,085,714 : 342,560,796 = 342,560,796 : x
  2. Step 2: Convert to fraction form
    158,085,714/342,560,796 = 342,560,796/x
  3. Step 3: Cross multiply
    158,085,714x = 342,560,796 × 342,560,796
  4. Step 4: Simplify right side
    158,085,714x = 117,347,898,956,153,616
  5. Step 5: Solve for x
    x = 117,347,898,956,153,616/158,085,714
  6. Step 6: Final answer
    x = 742,305,525.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.