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Finding the Third Proportional to 113,236,604,491 and 175,821,415,742

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Solution

The third proportional to 113,236,604,491 and 175,821,415,742 is: 272,996,266,291.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,236,604,491 : 175,821,415,742 = 175,821,415,742 : x
  2. Step 2: Convert to fraction form
    113,236,604,491/175,821,415,742 = 175,821,415,742/x
  3. Step 3: Cross multiply
    113,236,604,491x = 175,821,415,742 × 175,821,415,742
  4. Step 4: Simplify right side
    113,236,604,491x = 30,913,170,233,521,206,198,272
  5. Step 5: Solve for x
    x = 30,913,170,233,521,206,198,272/113,236,604,491
  6. Step 6: Final answer
    x = 272,996,266,291.07

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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.