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Finding the Third Proportional to 85,558,911 and 184,753,036.50

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Solution

The third proportional to 85,558,911 and 184,753,036.50 is: 398,949,496.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,558,911 : 184,753,036.50 = 184,753,036.50 : x
  2. Step 2: Convert to fraction form
    85,558,911/184,753,036.50 = 184,753,036.50/x
  3. Step 3: Cross multiply
    85,558,911x = 184,753,036.50 × 184,753,036.50
  4. Step 4: Simplify right side
    85,558,911x = 34,133,684,495,970,332
  5. Step 5: Solve for x
    x = 34,133,684,495,970,332/85,558,911
  6. Step 6: Final answer
    x = 398,949,496.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.