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Finding the Third Proportional to 78,646,498 and 122,110,467

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Solution

The third proportional to 78,646,498 and 122,110,467 is: 189,594,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,646,498 : 122,110,467 = 122,110,467 : x
  2. Step 2: Convert to fraction form
    78,646,498/122,110,467 = 122,110,467/x
  3. Step 3: Cross multiply
    78,646,498x = 122,110,467 × 122,110,467
  4. Step 4: Simplify right side
    78,646,498x = 14,910,966,150,958,088
  5. Step 5: Solve for x
    x = 14,910,966,150,958,088/78,646,498
  6. Step 6: Final answer
    x = 189,594,788.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.