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Finding the Third Proportional to 102,853,869 and 219,656,846

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Solution

The third proportional to 102,853,869 and 219,656,846 is: 469,103,695.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,853,869 : 219,656,846 = 219,656,846 : x
  2. Step 2: Convert to fraction form
    102,853,869/219,656,846 = 219,656,846/x
  3. Step 3: Cross multiply
    102,853,869x = 219,656,846 × 219,656,846
  4. Step 4: Simplify right side
    102,853,869x = 48,249,129,994,667,712
  5. Step 5: Solve for x
    x = 48,249,129,994,667,712/102,853,869
  6. Step 6: Final answer
    x = 469,103,695.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.