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Finding the Third Proportional to 189,079,994 and 411,288,664

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Solution

The third proportional to 189,079,994 and 411,288,664 is: 894,639,150.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,079,994 : 411,288,664 = 411,288,664 : x
  2. Step 2: Convert to fraction form
    189,079,994/411,288,664 = 411,288,664/x
  3. Step 3: Cross multiply
    189,079,994x = 411,288,664 × 411,288,664
  4. Step 4: Simplify right side
    189,079,994x = 169,158,365,134,904,896
  5. Step 5: Solve for x
    x = 169,158,365,134,904,896/189,079,994
  6. Step 6: Final answer
    x = 894,639,150.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.