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Finding the Third Proportional to 110,776,101.19 and 242,399,658.38

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Solution

The third proportional to 110,776,101.19 and 242,399,658.38 is: 530,417,605.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,776,101.19 : 242,399,658.38 = 242,399,658.38 : x
  2. Step 2: Convert to fraction form
    110,776,101.19/242,399,658.38 = 242,399,658.38/x
  3. Step 3: Cross multiply
    110,776,101.19x = 242,399,658.38 × 242,399,658.38
  4. Step 4: Simplify right side
    110,776,101.19x = 58,757,594,380,316,704
  5. Step 5: Solve for x
    x = 58,757,594,380,316,704/110,776,101.19
  6. Step 6: Final answer
    x = 530,417,605.88

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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.