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Finding the Third Proportional to 105,991,944 and 159,518,634

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Solution

The third proportional to 105,991,944 and 159,518,634 is: 240,076,685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,991,944 : 159,518,634 = 159,518,634 : x
  2. Step 2: Convert to fraction form
    105,991,944/159,518,634 = 159,518,634/x
  3. Step 3: Cross multiply
    105,991,944x = 159,518,634 × 159,518,634
  4. Step 4: Simplify right side
    105,991,944x = 25,446,194,593,225,956
  5. Step 5: Solve for x
    x = 25,446,194,593,225,956/105,991,944
  6. Step 6: Final answer
    x = 240,076,685.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.