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Finding the Third Proportional to 188,693,824 and 284,370,432

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Solution

The third proportional to 188,693,824 and 284,370,432 is: 428,559,562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,693,824 : 284,370,432 = 284,370,432 : x
  2. Step 2: Convert to fraction form
    188,693,824/284,370,432 = 284,370,432/x
  3. Step 3: Cross multiply
    188,693,824x = 284,370,432 × 284,370,432
  4. Step 4: Simplify right side
    188,693,824x = 80,866,542,595,866,624
  5. Step 5: Solve for x
    x = 80,866,542,595,866,624/188,693,824
  6. Step 6: Final answer
    x = 428,559,562.16

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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.