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Finding the Third Proportional to 47,196,225 and 102,971,322

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Solution

The third proportional to 47,196,225 and 102,971,322 is: 224,659,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,196,225 : 102,971,322 = 102,971,322 : x
  2. Step 2: Convert to fraction form
    47,196,225/102,971,322 = 102,971,322/x
  3. Step 3: Cross multiply
    47,196,225x = 102,971,322 × 102,971,322
  4. Step 4: Simplify right side
    47,196,225x = 10,603,093,154,427,684
  5. Step 5: Solve for x
    x = 10,603,093,154,427,684/47,196,225
  6. Step 6: Final answer
    x = 224,659,772.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.