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Finding the Third Proportional to 188,076,441 and 290,499,565.50

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Solution

The third proportional to 188,076,441 and 290,499,565.50 is: 448,700,523.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,076,441 : 290,499,565.50 = 290,499,565.50 : x
  2. Step 2: Convert to fraction form
    188,076,441/290,499,565.50 = 290,499,565.50/x
  3. Step 3: Cross multiply
    188,076,441x = 290,499,565.50 × 290,499,565.50
  4. Step 4: Simplify right side
    188,076,441x = 84,389,997,555,688,784
  5. Step 5: Solve for x
    x = 84,389,997,555,688,784/188,076,441
  6. Step 6: Final answer
    x = 448,700,523.61

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