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Finding the Third Proportional to 123,435,013.50 and 168,124,249.50

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Solution

The third proportional to 123,435,013.50 and 168,124,249.50 is: 228,993,074.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,435,013.50 : 168,124,249.50 = 168,124,249.50 : x
  2. Step 2: Convert to fraction form
    123,435,013.50/168,124,249.50 = 168,124,249.50/x
  3. Step 3: Cross multiply
    123,435,013.50x = 168,124,249.50 × 168,124,249.50
  4. Step 4: Simplify right side
    123,435,013.50x = 28,265,763,269,938,252
  5. Step 5: Solve for x
    x = 28,265,763,269,938,252/123,435,013.50
  6. Step 6: Final answer
    x = 228,993,074.72

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.