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Finding the Third Proportional to 162,184,916 and 335,867,377

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Solution

The third proportional to 162,184,916 and 335,867,377 is: 695,544,923.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,184,916 : 335,867,377 = 335,867,377 : x
  2. Step 2: Convert to fraction form
    162,184,916/335,867,377 = 335,867,377/x
  3. Step 3: Cross multiply
    162,184,916x = 335,867,377 × 335,867,377
  4. Step 4: Simplify right side
    162,184,916x = 112,806,894,932,860,128
  5. Step 5: Solve for x
    x = 112,806,894,932,860,128/162,184,916
  6. Step 6: Final answer
    x = 695,544,923.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.