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Finding the Third Proportional to 102,197,737.13 and 224,179,536.94

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Solution

The third proportional to 102,197,737.13 and 224,179,536.94 is: 491,757,119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,197,737.13 : 224,179,536.94 = 224,179,536.94 : x
  2. Step 2: Convert to fraction form
    102,197,737.13/224,179,536.94 = 224,179,536.94/x
  3. Step 3: Cross multiply
    102,197,737.13x = 224,179,536.94 × 224,179,536.94
  4. Step 4: Simplify right side
    102,197,737.13x = 50,256,464,781,511,928
  5. Step 5: Solve for x
    x = 50,256,464,781,511,928/102,197,737.13
  6. Step 6: Final answer
    x = 491,757,119.05

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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.