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Finding the Third Proportional to 102,096,072 and 224,029,368

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Solution

The third proportional to 102,096,072 and 224,029,368 is: 491,587,548.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,096,072 : 224,029,368 = 224,029,368 : x
  2. Step 2: Convert to fraction form
    102,096,072/224,029,368 = 224,029,368/x
  3. Step 3: Cross multiply
    102,096,072x = 224,029,368 × 224,029,368
  4. Step 4: Simplify right side
    102,096,072x = 50,189,157,726,479,424
  5. Step 5: Solve for x
    x = 50,189,157,726,479,424/102,096,072
  6. Step 6: Final answer
    x = 491,587,548.31

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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.