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Finding the Third Proportional to 170,814,292,628 and 367,335,548,962

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Solution

The third proportional to 170,814,292,628 and 367,335,548,962 is: 789,953,834,981.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,814,292,628 : 367,335,548,962 = 367,335,548,962 : x
  2. Step 2: Convert to fraction form
    170,814,292,628/367,335,548,962 = 367,335,548,962/x
  3. Step 3: Cross multiply
    170,814,292,628x = 367,335,548,962 × 367,335,548,962
  4. Step 4: Simplify right side
    170,814,292,628x = 134,935,405,531,213,902,905,344
  5. Step 5: Solve for x
    x = 134,935,405,531,213,902,905,344/170,814,292,628
  6. Step 6: Final answer
    x = 789,953,834,981.93

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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.