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Finding the Third Proportional to 64,099,624.50 and 130,464,571.50

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Solution

The third proportional to 64,099,624.50 and 130,464,571.50 is: 265,539,845.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,099,624.50 : 130,464,571.50 = 130,464,571.50 : x
  2. Step 2: Convert to fraction form
    64,099,624.50/130,464,571.50 = 130,464,571.50/x
  3. Step 3: Cross multiply
    64,099,624.50x = 130,464,571.50 × 130,464,571.50
  4. Step 4: Simplify right side
    64,099,624.50x = 17,021,004,416,678,612
  5. Step 5: Solve for x
    x = 17,021,004,416,678,612/64,099,624.50
  6. Step 6: Final answer
    x = 265,539,845.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.