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Finding the Third Proportional to 102,726,168 and 219,997,464

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Solution

The third proportional to 102,726,168 and 219,997,464 is: 471,144,647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,726,168 : 219,997,464 = 219,997,464 : x
  2. Step 2: Convert to fraction form
    102,726,168/219,997,464 = 219,997,464/x
  3. Step 3: Cross multiply
    102,726,168x = 219,997,464 × 219,997,464
  4. Step 4: Simplify right side
    102,726,168x = 48,398,884,166,431,296
  5. Step 5: Solve for x
    x = 48,398,884,166,431,296/102,726,168
  6. Step 6: Final answer
    x = 471,144,647.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.