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Finding the Third Proportional to 100,675,025 and 155,463,270.50

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Solution

The third proportional to 100,675,025 and 155,463,270.50 is: 240,067,767.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,675,025 : 155,463,270.50 = 155,463,270.50 : x
  2. Step 2: Convert to fraction form
    100,675,025/155,463,270.50 = 155,463,270.50/x
  3. Step 3: Cross multiply
    100,675,025x = 155,463,270.50 × 155,463,270.50
  4. Step 4: Simplify right side
    100,675,025x = 24,168,828,474,556,172
  5. Step 5: Solve for x
    x = 24,168,828,474,556,172/100,675,025
  6. Step 6: Final answer
    x = 240,067,767.30

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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.