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Finding the Third Proportional to 88,385,538 and 208,349,296

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Solution

The third proportional to 88,385,538 and 208,349,296 is: 491,137,239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,385,538 : 208,349,296 = 208,349,296 : x
  2. Step 2: Convert to fraction form
    88,385,538/208,349,296 = 208,349,296/x
  3. Step 3: Cross multiply
    88,385,538x = 208,349,296 × 208,349,296
  4. Step 4: Simplify right side
    88,385,538x = 43,409,429,143,695,616
  5. Step 5: Solve for x
    x = 43,409,429,143,695,616/88,385,538
  6. Step 6: Final answer
    x = 491,137,239.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.