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Finding the Third Proportional to 136,259,410.50 and 295,518,415.50

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Solution

The third proportional to 136,259,410.50 and 295,518,415.50 is: 640,918,183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,259,410.50 : 295,518,415.50 = 295,518,415.50 : x
  2. Step 2: Convert to fraction form
    136,259,410.50/295,518,415.50 = 295,518,415.50/x
  3. Step 3: Cross multiply
    136,259,410.50x = 295,518,415.50 × 295,518,415.50
  4. Step 4: Simplify right side
    136,259,410.50x = 87,331,133,899,630,640
  5. Step 5: Solve for x
    x = 87,331,133,899,630,640/136,259,410.50
  6. Step 6: Final answer
    x = 640,918,183.77

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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.