Home / 140,024,745,002.25-301,286,828,216.25

Finding the Third Proportional to 140,024,745,002.25 and 301,286,828,216.25

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Solution

The third proportional to 140,024,745,002.25 and 301,286,828,216.25 is: 648,269,367,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,024,745,002.25 : 301,286,828,216.25 = 301,286,828,216.25 : x
  2. Step 2: Convert to fraction form
    140,024,745,002.25/301,286,828,216.25 = 301,286,828,216.25/x
  3. Step 3: Cross multiply
    140,024,745,002.25x = 301,286,828,216.25 × 301,286,828,216.25
  4. Step 4: Simplify right side
    140,024,745,002.25x = 90,773,752,856,608,136,757,248
  5. Step 5: Solve for x
    x = 90,773,752,856,608,136,757,248/140,024,745,002.25
  6. Step 6: Final answer
    x = 648,269,367,354.67

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1.5x scale

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.