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Finding the Third Proportional to 141,067,224 and 217,886,724

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Solution

The third proportional to 141,067,224 and 217,886,724 is: 336,539,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,067,224 : 217,886,724 = 217,886,724 : x
  2. Step 2: Convert to fraction form
    141,067,224/217,886,724 = 217,886,724/x
  3. Step 3: Cross multiply
    141,067,224x = 217,886,724 × 217,886,724
  4. Step 4: Simplify right side
    141,067,224x = 47,474,624,495,452,176
  5. Step 5: Solve for x
    x = 47,474,624,495,452,176/141,067,224
  6. Step 6: Final answer
    x = 336,539,014.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.