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Finding the Third Proportional to 137,164,619 and 208,962,595

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Solution

The third proportional to 137,164,619 and 208,962,595 is: 318,342,779.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,164,619 : 208,962,595 = 208,962,595 : x
  2. Step 2: Convert to fraction form
    137,164,619/208,962,595 = 208,962,595/x
  3. Step 3: Cross multiply
    137,164,619x = 208,962,595 × 208,962,595
  4. Step 4: Simplify right side
    137,164,619x = 43,665,366,109,134,024
  5. Step 5: Solve for x
    x = 43,665,366,109,134,024/137,164,619
  6. Step 6: Final answer
    x = 318,342,779.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.