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Finding the Third Proportional to 225,701,244 and 317,837,087.25

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Solution

The third proportional to 225,701,244 and 317,837,087.25 is: 447,584,657.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,701,244 : 317,837,087.25 = 317,837,087.25 : x
  2. Step 2: Convert to fraction form
    225,701,244/317,837,087.25 = 317,837,087.25/x
  3. Step 3: Cross multiply
    225,701,244x = 317,837,087.25 × 317,837,087.25
  4. Step 4: Simplify right side
    225,701,244x = 101,020,414,031,564,112
  5. Step 5: Solve for x
    x = 101,020,414,031,564,112/225,701,244
  6. Step 6: Final answer
    x = 447,584,657.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.