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Finding the Third Proportional to 155,476,226 and 340,240,900

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Solution

The third proportional to 155,476,226 and 340,240,900 is: 744,576,023.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,476,226 : 340,240,900 = 340,240,900 : x
  2. Step 2: Convert to fraction form
    155,476,226/340,240,900 = 340,240,900/x
  3. Step 3: Cross multiply
    155,476,226x = 340,240,900 × 340,240,900
  4. Step 4: Simplify right side
    155,476,226x = 115,763,870,032,810,000
  5. Step 5: Solve for x
    x = 115,763,870,032,810,000/155,476,226
  6. Step 6: Final answer
    x = 744,576,023.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.