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Finding the Third Proportional to 159,887,756,166 and 355,524,132,559

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Solution

The third proportional to 159,887,756,166 and 355,524,132,559 is: 790,538,386,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,887,756,166 : 355,524,132,559 = 355,524,132,559 : x
  2. Step 2: Convert to fraction form
    159,887,756,166/355,524,132,559 = 355,524,132,559/x
  3. Step 3: Cross multiply
    159,887,756,166x = 355,524,132,559 × 355,524,132,559
  4. Step 4: Simplify right side
    159,887,756,166x = 126,397,408,831,829,398,519,808
  5. Step 5: Solve for x
    x = 126,397,408,831,829,398,519,808/159,887,756,166
  6. Step 6: Final answer
    x = 790,538,386,820.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.