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Finding the Third Proportional to 110,776,108 and 242,399,673

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Solution

The third proportional to 110,776,108 and 242,399,673 is: 530,417,637.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,776,108 : 242,399,673 = 242,399,673 : x
  2. Step 2: Convert to fraction form
    110,776,108/242,399,673 = 242,399,673/x
  3. Step 3: Cross multiply
    110,776,108x = 242,399,673 × 242,399,673
  4. Step 4: Simplify right side
    110,776,108x = 58,757,601,470,506,928
  5. Step 5: Solve for x
    x = 58,757,601,470,506,928/110,776,108
  6. Step 6: Final answer
    x = 530,417,637.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.