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Finding the Third Proportional to 113,236,604,485 and 175,821,415,733

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Solution

The third proportional to 113,236,604,485 and 175,821,415,733 is: 272,996,266,277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,236,604,485 : 175,821,415,733 = 175,821,415,733 : x
  2. Step 2: Convert to fraction form
    113,236,604,485/175,821,415,733 = 175,821,415,733/x
  3. Step 3: Cross multiply
    113,236,604,485x = 175,821,415,733 × 175,821,415,733
  4. Step 4: Simplify right side
    113,236,604,485x = 30,913,170,230,356,419,280,896
  5. Step 5: Solve for x
    x = 30,913,170,230,356,419,280,896/113,236,604,485
  6. Step 6: Final answer
    x = 272,996,266,277.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.