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Finding the Third Proportional to 100,698,777 and 155,496,529.50

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Solution

The third proportional to 100,698,777 and 155,496,529.50 is: 240,113,846.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698,777 : 155,496,529.50 = 155,496,529.50 : x
  2. Step 2: Convert to fraction form
    100,698,777/155,496,529.50 = 155,496,529.50/x
  3. Step 3: Cross multiply
    100,698,777x = 155,496,529.50 × 155,496,529.50
  4. Step 4: Simplify right side
    100,698,777x = 24,179,170,686,544,372
  5. Step 5: Solve for x
    x = 24,179,170,686,544,372/100,698,777
  6. Step 6: Final answer
    x = 240,113,846.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.