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Finding the Third Proportional to 50,077,448 and 109,719,376

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Solution

The third proportional to 50,077,448 and 109,719,376 is: 240,394,467.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,077,448 : 109,719,376 = 109,719,376 : x
  2. Step 2: Convert to fraction form
    50,077,448/109,719,376 = 109,719,376/x
  3. Step 3: Cross multiply
    50,077,448x = 109,719,376 × 109,719,376
  4. Step 4: Simplify right side
    50,077,448x = 12,038,341,469,829,376
  5. Step 5: Solve for x
    x = 12,038,341,469,829,376/50,077,448
  6. Step 6: Final answer
    x = 240,394,467.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.