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Finding the Third Proportional to 184,369,440.94 and 402,516,755.16

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Solution

The third proportional to 184,369,440.94 and 402,516,755.16 is: 878,777,618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,369,440.94 : 402,516,755.16 = 402,516,755.16 : x
  2. Step 2: Convert to fraction form
    184,369,440.94/402,516,755.16 = 402,516,755.16/x
  3. Step 3: Cross multiply
    184,369,440.94x = 402,516,755.16 × 402,516,755.16
  4. Step 4: Simplify right side
    184,369,440.94x = 162,019,738,181,516,512
  5. Step 5: Solve for x
    x = 162,019,738,181,516,512/184,369,440.94
  6. Step 6: Final answer
    x = 878,777,618.23

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Why These Related Problems?

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