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Finding the Third Proportional to 178,832,057,756 and 362,919,004,120

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Solution

The third proportional to 178,832,057,756 and 362,919,004,120 is: 736,502,197,671.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,832,057,756 : 362,919,004,120 = 362,919,004,120 : x
  2. Step 2: Convert to fraction form
    178,832,057,756/362,919,004,120 = 362,919,004,120/x
  3. Step 3: Cross multiply
    178,832,057,756x = 362,919,004,120 × 362,919,004,120
  4. Step 4: Simplify right side
    178,832,057,756x = 131,710,203,551,452,583,952,384
  5. Step 5: Solve for x
    x = 131,710,203,551,452,583,952,384/178,832,057,756
  6. Step 6: Final answer
    x = 736,502,197,671.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.