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Finding the Third Proportional to 78,076,742 and 169,594,110

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Solution

The third proportional to 78,076,742 and 169,594,110 is: 368,383,226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,076,742 : 169,594,110 = 169,594,110 : x
  2. Step 2: Convert to fraction form
    78,076,742/169,594,110 = 169,594,110/x
  3. Step 3: Cross multiply
    78,076,742x = 169,594,110 × 169,594,110
  4. Step 4: Simplify right side
    78,076,742x = 28,762,162,146,692,100
  5. Step 5: Solve for x
    x = 28,762,162,146,692,100/78,076,742
  6. Step 6: Final answer
    x = 368,383,226.68

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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.