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Finding the Third Proportional to 47,975,199 and 103,610,464

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Solution

The third proportional to 47,975,199 and 103,610,464 is: 223,764,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,975,199 : 103,610,464 = 103,610,464 : x
  2. Step 2: Convert to fraction form
    47,975,199/103,610,464 = 103,610,464/x
  3. Step 3: Cross multiply
    47,975,199x = 103,610,464 × 103,610,464
  4. Step 4: Simplify right side
    47,975,199x = 10,735,128,250,295,296
  5. Step 5: Solve for x
    x = 10,735,128,250,295,296/47,975,199
  6. Step 6: Final answer
    x = 223,764,121.34

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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.