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Finding the Third Proportional to 180,512,260 and 275,000,838

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Solution

The third proportional to 180,512,260 and 275,000,838 is: 418,949,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,512,260 : 275,000,838 = 275,000,838 : x
  2. Step 2: Convert to fraction form
    180,512,260/275,000,838 = 275,000,838/x
  3. Step 3: Cross multiply
    180,512,260x = 275,000,838 × 275,000,838
  4. Step 4: Simplify right side
    180,512,260x = 75,625,460,900,702,240
  5. Step 5: Solve for x
    x = 75,625,460,900,702,240/180,512,260
  6. Step 6: Final answer
    x = 418,949,166.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.