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Finding the Third Proportional to 202,052,781 and 295,520,899.50

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Solution

The third proportional to 202,052,781 and 295,520,899.50 is: 432,226,676.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,052,781 : 295,520,899.50 = 295,520,899.50 : x
  2. Step 2: Convert to fraction form
    202,052,781/295,520,899.50 = 295,520,899.50/x
  3. Step 3: Cross multiply
    202,052,781x = 295,520,899.50 × 295,520,899.50
  4. Step 4: Simplify right side
    202,052,781x = 87,332,602,041,289,104
  5. Step 5: Solve for x
    x = 87,332,602,041,289,104/202,052,781
  6. Step 6: Final answer
    x = 432,226,676.66

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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.