Home / 120,298,087,624.35-258,059,408,283.73

Finding the Third Proportional to 120,298,087,624.35 and 258,059,408,283.73

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Solution

The third proportional to 120,298,087,624.35 and 258,059,408,283.73 is: 553,580,356,253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,298,087,624.35 : 258,059,408,283.73 = 258,059,408,283.73 : x
  2. Step 2: Convert to fraction form
    120,298,087,624.35/258,059,408,283.73 = 258,059,408,283.73/x
  3. Step 3: Cross multiply
    120,298,087,624.35x = 258,059,408,283.73 × 258,059,408,283.73
  4. Step 4: Simplify right side
    120,298,087,624.35x = 66,594,658,203,748,861,476,864
  5. Step 5: Solve for x
    x = 66,594,658,203,748,861,476,864/120,298,087,624.35
  6. Step 6: Final answer
    x = 553,580,356,253.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.