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Finding the Third Proportional to 103,311,171 and 224,781,897

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Solution

The third proportional to 103,311,171 and 224,781,897 is: 489,074,905.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,311,171 : 224,781,897 = 224,781,897 : x
  2. Step 2: Convert to fraction form
    103,311,171/224,781,897 = 224,781,897/x
  3. Step 3: Cross multiply
    103,311,171x = 224,781,897 × 224,781,897
  4. Step 4: Simplify right side
    103,311,171x = 50,526,901,218,918,608
  5. Step 5: Solve for x
    x = 50,526,901,218,918,608/103,311,171
  6. Step 6: Final answer
    x = 489,074,905.74

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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.