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Finding the Third Proportional to 212,280,552 and 319,916,736

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Solution

The third proportional to 212,280,552 and 319,916,736 is: 482,129,507.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,280,552 : 319,916,736 = 319,916,736 : x
  2. Step 2: Convert to fraction form
    212,280,552/319,916,736 = 319,916,736/x
  3. Step 3: Cross multiply
    212,280,552x = 319,916,736 × 319,916,736
  4. Step 4: Simplify right side
    212,280,552x = 102,346,717,972,893,696
  5. Step 5: Solve for x
    x = 102,346,717,972,893,696/212,280,552
  6. Step 6: Final answer
    x = 482,129,507.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.