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Finding the Third Proportional to 150,735,196 and 326,511,788

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Solution

The third proportional to 150,735,196 and 326,511,788 is: 707,266,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,735,196 : 326,511,788 = 326,511,788 : x
  2. Step 2: Convert to fraction form
    150,735,196/326,511,788 = 326,511,788/x
  3. Step 3: Cross multiply
    150,735,196x = 326,511,788 × 326,511,788
  4. Step 4: Simplify right side
    150,735,196x = 106,609,947,702,956,944
  5. Step 5: Solve for x
    x = 106,609,947,702,956,944/150,735,196
  6. Step 6: Final answer
    x = 707,266,454.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.