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Finding the Third Proportional to 103,595,125 and 155,354,647

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Solution

The third proportional to 103,595,125 and 155,354,647 is: 232,974,923.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,595,125 : 155,354,647 = 155,354,647 : x
  2. Step 2: Convert to fraction form
    103,595,125/155,354,647 = 155,354,647/x
  3. Step 3: Cross multiply
    103,595,125x = 155,354,647 × 155,354,647
  4. Step 4: Simplify right side
    103,595,125x = 24,135,066,344,494,608
  5. Step 5: Solve for x
    x = 24,135,066,344,494,608/103,595,125
  6. Step 6: Final answer
    x = 232,974,923.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.