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Finding the Third Proportional to 69,089,999,943 and 106,149,148,951.50

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Solution

The third proportional to 69,089,999,943 and 106,149,148,951.50 is: 163,086,435,553.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,089,999,943 : 106,149,148,951.50 = 106,149,148,951.50 : x
  2. Step 2: Convert to fraction form
    69,089,999,943/106,149,148,951.50 = 106,149,148,951.50/x
  3. Step 3: Cross multiply
    69,089,999,943x = 106,149,148,951.50 × 106,149,148,951.50
  4. Step 4: Simplify right side
    69,089,999,943x = 11,267,641,823,127,733,796,864
  5. Step 5: Solve for x
    x = 11,267,641,823,127,733,796,864/69,089,999,943
  6. Step 6: Final answer
    x = 163,086,435,553.97

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.