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Finding the Third Proportional to 213,088,214 and 467,652,892

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Solution

The third proportional to 213,088,214 and 467,652,892 is: 1,026,331,880.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,088,214 : 467,652,892 = 467,652,892 : x
  2. Step 2: Convert to fraction form
    213,088,214/467,652,892 = 467,652,892/x
  3. Step 3: Cross multiply
    213,088,214x = 467,652,892 × 467,652,892
  4. Step 4: Simplify right side
    213,088,214x = 218,699,227,395,963,648
  5. Step 5: Solve for x
    x = 218,699,227,395,963,648/213,088,214
  6. Step 6: Final answer
    x = 1,026,331,880.54

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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.