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Finding the Third Proportional to 102,697,911.47 and 159,076,610.44

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Solution

The third proportional to 102,697,911.47 and 159,076,610.44 is: 246,405,867.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,697,911.47 : 159,076,610.44 = 159,076,610.44 : x
  2. Step 2: Convert to fraction form
    102,697,911.47/159,076,610.44 = 159,076,610.44/x
  3. Step 3: Cross multiply
    102,697,911.47x = 159,076,610.44 × 159,076,610.44
  4. Step 4: Simplify right side
    102,697,911.47x = 25,305,367,988,284,132
  5. Step 5: Solve for x
    x = 25,305,367,988,284,132/102,697,911.47
  6. Step 6: Final answer
    x = 246,405,867.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.