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Finding the Third Proportional to 65,143,885.50 and 140,296,396.50

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Solution

The third proportional to 65,143,885.50 and 140,296,396.50 is: 302,147,756.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,143,885.50 : 140,296,396.50 = 140,296,396.50 : x
  2. Step 2: Convert to fraction form
    65,143,885.50/140,296,396.50 = 140,296,396.50/x
  3. Step 3: Cross multiply
    65,143,885.50x = 140,296,396.50 × 140,296,396.50
  4. Step 4: Simplify right side
    65,143,885.50x = 19,683,078,870,885,212
  5. Step 5: Solve for x
    x = 19,683,078,870,885,212/65,143,885.50
  6. Step 6: Final answer
    x = 302,147,756.77

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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.