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Finding the Third Proportional to 69,089,999,947 and 106,149,148,958

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Solution

The third proportional to 69,089,999,947 and 106,149,148,958 is: 163,086,435,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,089,999,947 : 106,149,148,958 = 106,149,148,958 : x
  2. Step 2: Convert to fraction form
    69,089,999,947/106,149,148,958 = 106,149,148,958/x
  3. Step 3: Cross multiply
    69,089,999,947x = 106,149,148,958 × 106,149,148,958
  4. Step 4: Simplify right side
    69,089,999,947x = 11,267,641,824,507,672,395,776
  5. Step 5: Solve for x
    x = 11,267,641,824,507,672,395,776/69,089,999,947
  6. Step 6: Final answer
    x = 163,086,435,564.50

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Why These Related Problems?

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