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Finding the Third Proportional to 100,200,536 and 155,149,160

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Solution

The third proportional to 100,200,536 and 155,149,160 is: 240,230,869.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,200,536 : 155,149,160 = 155,149,160 : x
  2. Step 2: Convert to fraction form
    100,200,536/155,149,160 = 155,149,160/x
  3. Step 3: Cross multiply
    100,200,536x = 155,149,160 × 155,149,160
  4. Step 4: Simplify right side
    100,200,536x = 24,071,261,848,705,600
  5. Step 5: Solve for x
    x = 24,071,261,848,705,600/100,200,536
  6. Step 6: Final answer
    x = 240,230,869.11

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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.