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Finding the Third Proportional to 189,064,416 and 410,395,992

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Solution

The third proportional to 189,064,416 and 410,395,992 is: 890,833,261.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,064,416 : 410,395,992 = 410,395,992 : x
  2. Step 2: Convert to fraction form
    189,064,416/410,395,992 = 410,395,992/x
  3. Step 3: Cross multiply
    189,064,416x = 410,395,992 × 410,395,992
  4. Step 4: Simplify right side
    189,064,416x = 168,424,870,249,664,064
  5. Step 5: Solve for x
    x = 168,424,870,249,664,064/189,064,416
  6. Step 6: Final answer
    x = 890,833,261.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.