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Finding the Third Proportional to 259,363,911 and 401,165,835

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Solution

The third proportional to 259,363,911 and 401,165,835 is: 620,495,066.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,363,911 : 401,165,835 = 401,165,835 : x
  2. Step 2: Convert to fraction form
    259,363,911/401,165,835 = 401,165,835/x
  3. Step 3: Cross multiply
    259,363,911x = 401,165,835 × 401,165,835
  4. Step 4: Simplify right side
    259,363,911x = 160,934,027,171,247,232
  5. Step 5: Solve for x
    x = 160,934,027,171,247,232/259,363,911
  6. Step 6: Final answer
    x = 620,495,066.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.