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Finding the Third Proportional to 136,425,386 and 209,697,825

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Solution

The third proportional to 136,425,386 and 209,697,825 is: 322,324,012.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,425,386 : 209,697,825 = 209,697,825 : x
  2. Step 2: Convert to fraction form
    136,425,386/209,697,825 = 209,697,825/x
  3. Step 3: Cross multiply
    136,425,386x = 209,697,825 × 209,697,825
  4. Step 4: Simplify right side
    136,425,386x = 43,973,177,809,730,624
  5. Step 5: Solve for x
    x = 43,973,177,809,730,624/136,425,386
  6. Step 6: Final answer
    x = 322,324,012.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.