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Finding the Third Proportional to 139,828,064 and 285,207,616

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Solution

The third proportional to 139,828,064 and 285,207,616 is: 581,738,614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,828,064 : 285,207,616 = 285,207,616 : x
  2. Step 2: Convert to fraction form
    139,828,064/285,207,616 = 285,207,616/x
  3. Step 3: Cross multiply
    139,828,064x = 285,207,616 × 285,207,616
  4. Step 4: Simplify right side
    139,828,064x = 81,343,384,224,403,456
  5. Step 5: Solve for x
    x = 81,343,384,224,403,456/139,828,064
  6. Step 6: Final answer
    x = 581,738,614.53

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.