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Finding the Third Proportional to 212,015,524 and 458,072,356

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Solution

The third proportional to 212,015,524 and 458,072,356 is: 989,693,015.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,015,524 : 458,072,356 = 458,072,356 : x
  2. Step 2: Convert to fraction form
    212,015,524/458,072,356 = 458,072,356/x
  3. Step 3: Cross multiply
    212,015,524x = 458,072,356 × 458,072,356
  4. Step 4: Simplify right side
    212,015,524x = 209,830,283,331,390,720
  5. Step 5: Solve for x
    x = 209,830,283,331,390,720/212,015,524
  6. Step 6: Final answer
    x = 989,693,015.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.