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Finding the Third Proportional to 179,184,625,104 and 383,927,652,157

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Solution

The third proportional to 179,184,625,104 and 383,927,652,157 is: 822,617,688,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,184,625,104 : 383,927,652,157 = 383,927,652,157 : x
  2. Step 2: Convert to fraction form
    179,184,625,104/383,927,652,157 = 383,927,652,157/x
  3. Step 3: Cross multiply
    179,184,625,104x = 383,927,652,157 × 383,927,652,157
  4. Step 4: Simplify right side
    179,184,625,104x = 147,400,442,090,786,383,724,544
  5. Step 5: Solve for x
    x = 147,400,442,090,786,383,724,544/179,184,625,104
  6. Step 6: Final answer
    x = 822,617,688,349.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.