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Finding the Third Proportional to 188,693,826 and 284,370,435

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Solution

The third proportional to 188,693,826 and 284,370,435 is: 428,559,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,693,826 : 284,370,435 = 284,370,435 : x
  2. Step 2: Convert to fraction form
    188,693,826/284,370,435 = 284,370,435/x
  3. Step 3: Cross multiply
    188,693,826x = 284,370,435 × 284,370,435
  4. Step 4: Simplify right side
    188,693,826x = 80,866,544,302,089,232
  5. Step 5: Solve for x
    x = 80,866,544,302,089,232/188,693,826
  6. Step 6: Final answer
    x = 428,559,566.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.