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Finding the Third Proportional to 246,081,678 and 359,780,010.75

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Solution

The third proportional to 246,081,678 and 359,780,010.75 is: 526,010,945.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,081,678 : 359,780,010.75 = 359,780,010.75 : x
  2. Step 2: Convert to fraction form
    246,081,678/359,780,010.75 = 359,780,010.75/x
  3. Step 3: Cross multiply
    246,081,678x = 359,780,010.75 × 359,780,010.75
  4. Step 4: Simplify right side
    246,081,678x = 129,441,656,135,270,112
  5. Step 5: Solve for x
    x = 129,441,656,135,270,112/246,081,678
  6. Step 6: Final answer
    x = 526,010,945.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.