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Finding the Third Proportional to 186,294,257,372 and 405,229,196,415

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Solution

The third proportional to 186,294,257,372 and 405,229,196,415 is: 881,458,741,367.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,294,257,372 : 405,229,196,415 = 405,229,196,415 : x
  2. Step 2: Convert to fraction form
    186,294,257,372/405,229,196,415 = 405,229,196,415/x
  3. Step 3: Cross multiply
    186,294,257,372x = 405,229,196,415 × 405,229,196,415
  4. Step 4: Simplify right side
    186,294,257,372x = 164,210,701,627,146,660,478,976
  5. Step 5: Solve for x
    x = 164,210,701,627,146,660,478,976/186,294,257,372
  6. Step 6: Final answer
    x = 881,458,741,367.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.