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Finding the Third Proportional to 154,102,342 and 211,311,752

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Solution

The third proportional to 154,102,342 and 211,311,752 is: 289,759,752.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,102,342 : 211,311,752 = 211,311,752 : x
  2. Step 2: Convert to fraction form
    154,102,342/211,311,752 = 211,311,752/x
  3. Step 3: Cross multiply
    154,102,342x = 211,311,752 × 211,311,752
  4. Step 4: Simplify right side
    154,102,342x = 44,652,656,533,309,504
  5. Step 5: Solve for x
    x = 44,652,656,533,309,504/154,102,342
  6. Step 6: Final answer
    x = 289,759,752.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.