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Finding the Third Proportional to 47,975,187 and 103,610,443

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Solution

The third proportional to 47,975,187 and 103,610,443 is: 223,764,086.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,975,187 : 103,610,443 = 103,610,443 : x
  2. Step 2: Convert to fraction form
    47,975,187/103,610,443 = 103,610,443/x
  3. Step 3: Cross multiply
    47,975,187x = 103,610,443 × 103,610,443
  4. Step 4: Simplify right side
    47,975,187x = 10,735,123,898,656,248
  5. Step 5: Solve for x
    x = 10,735,123,898,656,248/47,975,187
  6. Step 6: Final answer
    x = 223,764,086.60

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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.