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Finding the Third Proportional to 167,093,649 and 255,443,123.25

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Solution

The third proportional to 167,093,649 and 255,443,123.25 is: 390,506,698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,093,649 : 255,443,123.25 = 255,443,123.25 : x
  2. Step 2: Convert to fraction form
    167,093,649/255,443,123.25 = 255,443,123.25/x
  3. Step 3: Cross multiply
    167,093,649x = 255,443,123.25 × 255,443,123.25
  4. Step 4: Simplify right side
    167,093,649x = 65,251,189,215,714,688
  5. Step 5: Solve for x
    x = 65,251,189,215,714,688/167,093,649
  6. Step 6: Final answer
    x = 390,506,698.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.