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Finding the Third Proportional to 149,571,268 and 223,759,038

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Solution

The third proportional to 149,571,268 and 223,759,038 is: 334,744,150.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,571,268 : 223,759,038 = 223,759,038 : x
  2. Step 2: Convert to fraction form
    149,571,268/223,759,038 = 223,759,038/x
  3. Step 3: Cross multiply
    149,571,268x = 223,759,038 × 223,759,038
  4. Step 4: Simplify right side
    149,571,268x = 50,068,107,086,685,440
  5. Step 5: Solve for x
    x = 50,068,107,086,685,440/149,571,268
  6. Step 6: Final answer
    x = 334,744,150.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.