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Finding the Third Proportional to 70,275,087,266.75 and 107,059,234,409.75

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Solution

The third proportional to 70,275,087,266.75 and 107,059,234,409.75 is: 163,097,338,163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,275,087,266.75 : 107,059,234,409.75 = 107,059,234,409.75 : x
  2. Step 2: Convert to fraction form
    70,275,087,266.75/107,059,234,409.75 = 107,059,234,409.75/x
  3. Step 3: Cross multiply
    70,275,087,266.75x = 107,059,234,409.75 × 107,059,234,409.75
  4. Step 4: Simplify right side
    70,275,087,266.75x = 11,461,679,672,401,797,840,896
  5. Step 5: Solve for x
    x = 11,461,679,672,401,797,840,896/70,275,087,266.75
  6. Step 6: Final answer
    x = 163,097,338,163.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.