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Finding the Third Proportional to 160,853,309 and 347,215,765

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Solution

The third proportional to 160,853,309 and 347,215,765 is: 749,495,227.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,853,309 : 347,215,765 = 347,215,765 : x
  2. Step 2: Convert to fraction form
    160,853,309/347,215,765 = 347,215,765/x
  3. Step 3: Cross multiply
    160,853,309x = 347,215,765 × 347,215,765
  4. Step 4: Simplify right side
    160,853,309x = 120,558,787,464,535,232
  5. Step 5: Solve for x
    x = 120,558,787,464,535,232/160,853,309
  6. Step 6: Final answer
    x = 749,495,227.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.