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Finding the Third Proportional to 258,557,098 and 362,806,800

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Solution

The third proportional to 258,557,098 and 362,806,800 is: 509,089,772.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,557,098 : 362,806,800 = 362,806,800 : x
  2. Step 2: Convert to fraction form
    258,557,098/362,806,800 = 362,806,800/x
  3. Step 3: Cross multiply
    258,557,098x = 362,806,800 × 362,806,800
  4. Step 4: Simplify right side
    258,557,098x = 131,628,774,126,240,000
  5. Step 5: Solve for x
    x = 131,628,774,126,240,000/258,557,098
  6. Step 6: Final answer
    x = 509,089,772.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.