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Finding the Third Proportional to 188,076,444 and 290,499,571

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Solution

The third proportional to 188,076,444 and 290,499,571 is: 448,700,533.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,076,444 : 290,499,571 = 290,499,571 : x
  2. Step 2: Convert to fraction form
    188,076,444/290,499,571 = 290,499,571/x
  3. Step 3: Cross multiply
    188,076,444x = 290,499,571 × 290,499,571
  4. Step 4: Simplify right side
    188,076,444x = 84,390,000,751,184,048
  5. Step 5: Solve for x
    x = 84,390,000,751,184,048/188,076,444
  6. Step 6: Final answer
    x = 448,700,533.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.