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Finding the Third Proportional to 162,184,911 and 335,867,367

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Solution

The third proportional to 162,184,911 and 335,867,367 is: 695,544,903.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,184,911 : 335,867,367 = 335,867,367 : x
  2. Step 2: Convert to fraction form
    162,184,911/335,867,367 = 335,867,367/x
  3. Step 3: Cross multiply
    162,184,911x = 335,867,367 × 335,867,367
  4. Step 4: Simplify right side
    162,184,911x = 112,806,888,215,512,688
  5. Step 5: Solve for x
    x = 112,806,888,215,512,688/162,184,911
  6. Step 6: Final answer
    x = 695,544,903.16

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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.