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Finding the Third Proportional to 174,750,083 and 378,578,518

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Solution

The third proportional to 174,750,083 and 378,578,518 is: 820,152,367.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,750,083 : 378,578,518 = 378,578,518 : x
  2. Step 2: Convert to fraction form
    174,750,083/378,578,518 = 378,578,518/x
  3. Step 3: Cross multiply
    174,750,083x = 378,578,518 × 378,578,518
  4. Step 4: Simplify right side
    174,750,083x = 143,321,694,291,076,320
  5. Step 5: Solve for x
    x = 143,321,694,291,076,320/174,750,083
  6. Step 6: Final answer
    x = 820,152,367.49

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