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Finding the Third Proportional to 140,450,114 and 301,608,724

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Solution

The third proportional to 140,450,114 and 301,608,724 is: 647,687,778.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,450,114 : 301,608,724 = 301,608,724 : x
  2. Step 2: Convert to fraction form
    140,450,114/301,608,724 = 301,608,724/x
  3. Step 3: Cross multiply
    140,450,114x = 301,608,724 × 301,608,724
  4. Step 4: Simplify right side
    140,450,114x = 90,967,822,392,908,176
  5. Step 5: Solve for x
    x = 90,967,822,392,908,176/140,450,114
  6. Step 6: Final answer
    x = 647,687,778.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.