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Finding the Third Proportional to 123,209,021 and 184,429,713

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Solution

The third proportional to 123,209,021 and 184,429,713 is: 276,070,037.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,209,021 : 184,429,713 = 184,429,713 : x
  2. Step 2: Convert to fraction form
    123,209,021/184,429,713 = 184,429,713/x
  3. Step 3: Cross multiply
    123,209,021x = 184,429,713 × 184,429,713
  4. Step 4: Simplify right side
    123,209,021x = 34,014,319,037,262,368
  5. Step 5: Solve for x
    x = 34,014,319,037,262,368/123,209,021
  6. Step 6: Final answer
    x = 276,070,037.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.