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Finding the Third Proportional to 202,052,794.50 and 295,520,917.50

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Solution

The third proportional to 202,052,794.50 and 295,520,917.50 is: 432,226,700.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,052,794.50 : 295,520,917.50 = 295,520,917.50 : x
  2. Step 2: Convert to fraction form
    202,052,794.50/295,520,917.50 = 295,520,917.50/x
  3. Step 3: Cross multiply
    202,052,794.50x = 295,520,917.50 × 295,520,917.50
  4. Step 4: Simplify right side
    202,052,794.50x = 87,332,612,680,041,808
  5. Step 5: Solve for x
    x = 87,332,612,680,041,808/202,052,794.50
  6. Step 6: Final answer
    x = 432,226,700.43

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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.