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Finding the Third Proportional to 41,844,768 and 90,295,224

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Solution

The third proportional to 41,844,768 and 90,295,224 is: 194,844,609.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,844,768 : 90,295,224 = 90,295,224 : x
  2. Step 2: Convert to fraction form
    41,844,768/90,295,224 = 90,295,224/x
  3. Step 3: Cross multiply
    41,844,768x = 90,295,224 × 90,295,224
  4. Step 4: Simplify right side
    41,844,768x = 8,153,227,477,210,176
  5. Step 5: Solve for x
    x = 8,153,227,477,210,176/41,844,768
  6. Step 6: Final answer
    x = 194,844,609.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.