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Finding the Third Proportional to 162,393,281,676 and 338,150,843,505

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Solution

The third proportional to 162,393,281,676 and 338,150,843,505 is: 704,130,071,041.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,393,281,676 : 338,150,843,505 = 338,150,843,505 : x
  2. Step 2: Convert to fraction form
    162,393,281,676/338,150,843,505 = 338,150,843,505/x
  3. Step 3: Cross multiply
    162,393,281,676x = 338,150,843,505 × 338,150,843,505
  4. Step 4: Simplify right side
    162,393,281,676x = 114,345,992,963,143,006,945,280
  5. Step 5: Solve for x
    x = 114,345,992,963,143,006,945,280/162,393,281,676
  6. Step 6: Final answer
    x = 704,130,071,041.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.