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Finding the Third Proportional to 159,054,017.34 and 349,994,494.69

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Solution

The third proportional to 159,054,017.34 and 349,994,494.69 is: 770,154,368.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,054,017.34 : 349,994,494.69 = 349,994,494.69 : x
  2. Step 2: Convert to fraction form
    159,054,017.34/349,994,494.69 = 349,994,494.69/x
  3. Step 3: Cross multiply
    159,054,017.34x = 349,994,494.69 × 349,994,494.69
  4. Step 4: Simplify right side
    159,054,017.34x = 122,496,146,311,558,464
  5. Step 5: Solve for x
    x = 122,496,146,311,558,464/159,054,017.34
  6. Step 6: Final answer
    x = 770,154,368.67

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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.