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Finding the Third Proportional to 165,876,049.13 and 359,353,816.88

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Solution

The third proportional to 165,876,049.13 and 359,353,816.88 is: 778,503,987.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,876,049.13 : 359,353,816.88 = 359,353,816.88 : x
  2. Step 2: Convert to fraction form
    165,876,049.13/359,353,816.88 = 359,353,816.88/x
  3. Step 3: Cross multiply
    165,876,049.13x = 359,353,816.88 × 359,353,816.88
  4. Step 4: Simplify right side
    165,876,049.13x = 129,135,165,702,631,040
  5. Step 5: Solve for x
    x = 129,135,165,702,631,040/165,876,049.13
  6. Step 6: Final answer
    x = 778,503,987.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.