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Finding the Third Proportional to 162,741,257 and 357,087,941

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Solution

The third proportional to 162,741,257 and 357,087,941 is: 783,524,718.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,741,257 : 357,087,941 = 357,087,941 : x
  2. Step 2: Convert to fraction form
    162,741,257/357,087,941 = 357,087,941/x
  3. Step 3: Cross multiply
    162,741,257x = 357,087,941 × 357,087,941
  4. Step 4: Simplify right side
    162,741,257x = 127,511,797,607,619,488
  5. Step 5: Solve for x
    x = 127,511,797,607,619,488/162,741,257
  6. Step 6: Final answer
    x = 783,524,718.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.