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Finding the Third Proportional to 65,952,423 and 140,961,795

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Solution

The third proportional to 65,952,423 and 140,961,795 is: 301,281,237.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,952,423 : 140,961,795 = 140,961,795 : x
  2. Step 2: Convert to fraction form
    65,952,423/140,961,795 = 140,961,795/x
  3. Step 3: Cross multiply
    65,952,423x = 140,961,795 × 140,961,795
  4. Step 4: Simplify right side
    65,952,423x = 19,870,227,649,622,024
  5. Step 5: Solve for x
    x = 19,870,227,649,622,024/65,952,423
  6. Step 6: Final answer
    x = 301,281,237.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.