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Finding the Third Proportional to 100,957,120 and 219,602,966

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Solution

The third proportional to 100,957,120 and 219,602,966 is: 477,682,630.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,957,120 : 219,602,966 = 219,602,966 : x
  2. Step 2: Convert to fraction form
    100,957,120/219,602,966 = 219,602,966/x
  3. Step 3: Cross multiply
    100,957,120x = 219,602,966 × 219,602,966
  4. Step 4: Simplify right side
    100,957,120x = 48,225,462,675,997,152
  5. Step 5: Solve for x
    x = 48,225,462,675,997,152/100,957,120
  6. Step 6: Final answer
    x = 477,682,630.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.