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Finding the Third Proportional to 103,404,268 and 224,041,407

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Solution

The third proportional to 103,404,268 and 224,041,407 is: 485,420,505.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,404,268 : 224,041,407 = 224,041,407 : x
  2. Step 2: Convert to fraction form
    103,404,268/224,041,407 = 224,041,407/x
  3. Step 3: Cross multiply
    103,404,268x = 224,041,407 × 224,041,407
  4. Step 4: Simplify right side
    103,404,268x = 50,194,552,050,539,648
  5. Step 5: Solve for x
    x = 50,194,552,050,539,648/103,404,268
  6. Step 6: Final answer
    x = 485,420,505.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.