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Finding the Third Proportional to 120,097,108.50 and 262,215,804

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Solution

The third proportional to 120,097,108.50 and 262,215,804 is: 572,512,766.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,097,108.50 : 262,215,804 = 262,215,804 : x
  2. Step 2: Convert to fraction form
    120,097,108.50/262,215,804 = 262,215,804/x
  3. Step 3: Cross multiply
    120,097,108.50x = 262,215,804 × 262,215,804
  4. Step 4: Simplify right side
    120,097,108.50x = 68,757,127,867,366,416
  5. Step 5: Solve for x
    x = 68,757,127,867,366,416/120,097,108.50
  6. Step 6: Final answer
    x = 572,512,766.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.