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Finding the Third Proportional to 156,227,664 and 340,228,770

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Solution

The third proportional to 156,227,664 and 340,228,770 is: 740,941,859.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,227,664 : 340,228,770 = 340,228,770 : x
  2. Step 2: Convert to fraction form
    156,227,664/340,228,770 = 340,228,770/x
  3. Step 3: Cross multiply
    156,227,664x = 340,228,770 × 340,228,770
  4. Step 4: Simplify right side
    156,227,664x = 115,755,615,935,712,896
  5. Step 5: Solve for x
    x = 115,755,615,935,712,896/156,227,664
  6. Step 6: Final answer
    x = 740,941,859.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.