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Finding the Third Proportional to 110,326,781,069 and 157,767,484,811

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Solution

The third proportional to 110,326,781,069 and 157,767,484,811 is: 225,607,771,951.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,326,781,069 : 157,767,484,811 = 157,767,484,811 : x
  2. Step 2: Convert to fraction form
    110,326,781,069/157,767,484,811 = 157,767,484,811/x
  3. Step 3: Cross multiply
    110,326,781,069x = 157,767,484,811 × 157,767,484,811
  4. Step 4: Simplify right side
    110,326,781,069x = 24,890,579,263,589,116,280,832
  5. Step 5: Solve for x
    x = 24,890,579,263,589,116,280,832/110,326,781,069
  6. Step 6: Final answer
    x = 225,607,771,951.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.