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Finding the Third Proportional to 202,052,844 and 295,520,994

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Solution

The third proportional to 202,052,844 and 295,520,994 is: 432,226,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,052,844 : 295,520,994 = 295,520,994 : x
  2. Step 2: Convert to fraction form
    202,052,844/295,520,994 = 295,520,994/x
  3. Step 3: Cross multiply
    202,052,844x = 295,520,994 × 295,520,994
  4. Step 4: Simplify right side
    202,052,844x = 87,332,657,894,748,032
  5. Step 5: Solve for x
    x = 87,332,657,894,748,032/202,052,844
  6. Step 6: Final answer
    x = 432,226,818.32

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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.