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Finding the Third Proportional to 100,200,548 and 155,149,190

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Solution

The third proportional to 100,200,548 and 155,149,190 is: 240,230,933.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,200,548 : 155,149,190 = 155,149,190 : x
  2. Step 2: Convert to fraction form
    100,200,548/155,149,190 = 155,149,190/x
  3. Step 3: Cross multiply
    100,200,548x = 155,149,190 × 155,149,190
  4. Step 4: Simplify right side
    100,200,548x = 24,071,271,157,656,100
  5. Step 5: Solve for x
    x = 24,071,271,157,656,100/100,200,548
  6. Step 6: Final answer
    x = 240,230,933.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.