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Finding the Third Proportional to 159,309,289.50 and 246,038,879.50

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Solution

The third proportional to 159,309,289.50 and 246,038,879.50 is: 379,984,936.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,309,289.50 : 246,038,879.50 = 246,038,879.50 : x
  2. Step 2: Convert to fraction form
    159,309,289.50/246,038,879.50 = 246,038,879.50/x
  3. Step 3: Cross multiply
    159,309,289.50x = 246,038,879.50 × 246,038,879.50
  4. Step 4: Simplify right side
    159,309,289.50x = 60,535,130,225,615,520
  5. Step 5: Solve for x
    x = 60,535,130,225,615,520/159,309,289.50
  6. Step 6: Final answer
    x = 379,984,936.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.