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Finding the Third Proportional to 73,109,214 and 160,568,154

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Solution

The third proportional to 73,109,214 and 160,568,154 is: 352,652,294.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,109,214 : 160,568,154 = 160,568,154 : x
  2. Step 2: Convert to fraction form
    73,109,214/160,568,154 = 160,568,154/x
  3. Step 3: Cross multiply
    73,109,214x = 160,568,154 × 160,568,154
  4. Step 4: Simplify right side
    73,109,214x = 25,782,132,078,967,716
  5. Step 5: Solve for x
    x = 25,782,132,078,967,716/73,109,214
  6. Step 6: Final answer
    x = 352,652,294.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.