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Finding the Third Proportional to 110,776,092 and 242,399,640

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Solution

The third proportional to 110,776,092 and 242,399,640 is: 530,417,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,776,092 : 242,399,640 = 242,399,640 : x
  2. Step 2: Convert to fraction form
    110,776,092/242,399,640 = 242,399,640/x
  3. Step 3: Cross multiply
    110,776,092x = 242,399,640 × 242,399,640
  4. Step 4: Simplify right side
    110,776,092x = 58,757,585,472,129,600
  5. Step 5: Solve for x
    x = 58,757,585,472,129,600/110,776,092
  6. Step 6: Final answer
    x = 530,417,569.45

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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.