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Finding the Third Proportional to 189,570,259,088 and 394,831,136,032

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Solution

The third proportional to 189,570,259,088 and 394,831,136,032 is: 822,342,210,905.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,570,259,088 : 394,831,136,032 = 394,831,136,032 : x
  2. Step 2: Convert to fraction form
    189,570,259,088/394,831,136,032 = 394,831,136,032/x
  3. Step 3: Cross multiply
    189,570,259,088x = 394,831,136,032 × 394,831,136,032
  4. Step 4: Simplify right side
    189,570,259,088x = 155,891,625,980,319,699,566,592
  5. Step 5: Solve for x
    x = 155,891,625,980,319,699,566,592/189,570,259,088
  6. Step 6: Final answer
    x = 822,342,210,905.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.