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Finding the Third Proportional to 102,300,207 and 219,155,934

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Solution

The third proportional to 102,300,207 and 219,155,934 is: 469,493,902.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,300,207 : 219,155,934 = 219,155,934 : x
  2. Step 2: Convert to fraction form
    102,300,207/219,155,934 = 219,155,934/x
  3. Step 3: Cross multiply
    102,300,207x = 219,155,934 × 219,155,934
  4. Step 4: Simplify right side
    102,300,207x = 48,029,323,407,412,352
  5. Step 5: Solve for x
    x = 48,029,323,407,412,352/102,300,207
  6. Step 6: Final answer
    x = 469,493,902.47

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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.