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Finding the Third Proportional to 134,020,072 and 290,294,371

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Solution

The third proportional to 134,020,072 and 290,294,371 is: 628,792,542.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,020,072 : 290,294,371 = 290,294,371 : x
  2. Step 2: Convert to fraction form
    134,020,072/290,294,371 = 290,294,371/x
  3. Step 3: Cross multiply
    134,020,072x = 290,294,371 × 290,294,371
  4. Step 4: Simplify right side
    134,020,072x = 84,270,821,834,285,648
  5. Step 5: Solve for x
    x = 84,270,821,834,285,648/134,020,072
  6. Step 6: Final answer
    x = 628,792,542.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.