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Finding the Third Proportional to 148,902,312 and 223,511,040

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Solution

The third proportional to 148,902,312 and 223,511,040 is: 335,503,084.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,902,312 : 223,511,040 = 223,511,040 : x
  2. Step 2: Convert to fraction form
    148,902,312/223,511,040 = 223,511,040/x
  3. Step 3: Cross multiply
    148,902,312x = 223,511,040 × 223,511,040
  4. Step 4: Simplify right side
    148,902,312x = 49,957,185,001,881,600
  5. Step 5: Solve for x
    x = 49,957,185,001,881,600/148,902,312
  6. Step 6: Final answer
    x = 335,503,084.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.