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Finding the Third Proportional to 145,672,168 and 312,004,592

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Solution

The third proportional to 145,672,168 and 312,004,592 is: 668,259,879.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,672,168 : 312,004,592 = 312,004,592 : x
  2. Step 2: Convert to fraction form
    145,672,168/312,004,592 = 312,004,592/x
  3. Step 3: Cross multiply
    145,672,168x = 312,004,592 × 312,004,592
  4. Step 4: Simplify right side
    145,672,168x = 97,346,865,429,086,464
  5. Step 5: Solve for x
    x = 97,346,865,429,086,464/145,672,168
  6. Step 6: Final answer
    x = 668,259,879.47

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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.