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Finding the Third Proportional to 215,227,425,236 and 462,395,293,200

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Solution

The third proportional to 215,227,425,236 and 462,395,293,200 is: 993,411,536,374.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,227,425,236 : 462,395,293,200 = 462,395,293,200 : x
  2. Step 2: Convert to fraction form
    215,227,425,236/462,395,293,200 = 462,395,293,200/x
  3. Step 3: Cross multiply
    215,227,425,236x = 462,395,293,200 × 462,395,293,200
  4. Step 4: Simplify right side
    215,227,425,236x = 213,809,407,173,513,965,469,696
  5. Step 5: Solve for x
    x = 213,809,407,173,513,965,469,696/215,227,425,236
  6. Step 6: Final answer
    x = 993,411,536,374.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.