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Finding the Third Proportional to 100,142,761 and 211,045,560

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Solution

The third proportional to 100,142,761 and 211,045,560 is: 444,767,329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,142,761 : 211,045,560 = 211,045,560 : x
  2. Step 2: Convert to fraction form
    100,142,761/211,045,560 = 211,045,560/x
  3. Step 3: Cross multiply
    100,142,761x = 211,045,560 × 211,045,560
  4. Step 4: Simplify right side
    100,142,761x = 44,540,228,395,713,600
  5. Step 5: Solve for x
    x = 44,540,228,395,713,600/100,142,761
  6. Step 6: Final answer
    x = 444,767,329.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.