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Finding the Third Proportional to 45,805,914 and 94,800,476.25

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Solution

The third proportional to 45,805,914 and 94,800,476.25 is: 196,200,217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,805,914 : 94,800,476.25 = 94,800,476.25 : x
  2. Step 2: Convert to fraction form
    45,805,914/94,800,476.25 = 94,800,476.25/x
  3. Step 3: Cross multiply
    45,805,914x = 94,800,476.25 × 94,800,476.25
  4. Step 4: Simplify right side
    45,805,914x = 8,987,130,297,226,814
  5. Step 5: Solve for x
    x = 8,987,130,297,226,814/45,805,914
  6. Step 6: Final answer
    x = 196,200,217.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.