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Finding the Third Proportional to 194,280,495 and 317,208,978

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Solution

The third proportional to 194,280,495 and 317,208,978 is: 517,918,876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,280,495 : 317,208,978 = 317,208,978 : x
  2. Step 2: Convert to fraction form
    194,280,495/317,208,978 = 317,208,978/x
  3. Step 3: Cross multiply
    194,280,495x = 317,208,978 × 317,208,978
  4. Step 4: Simplify right side
    194,280,495x = 100,621,535,723,804,480
  5. Step 5: Solve for x
    x = 100,621,535,723,804,480/194,280,495
  6. Step 6: Final answer
    x = 517,918,876.64

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.