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Finding the Third Proportional to 65,105,073 and 140,432,022

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Solution

The third proportional to 65,105,073 and 140,432,022 is: 302,912,690.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,105,073 : 140,432,022 = 140,432,022 : x
  2. Step 2: Convert to fraction form
    65,105,073/140,432,022 = 140,432,022/x
  3. Step 3: Cross multiply
    65,105,073x = 140,432,022 × 140,432,022
  4. Step 4: Simplify right side
    65,105,073x = 19,721,152,803,008,484
  5. Step 5: Solve for x
    x = 19,721,152,803,008,484/65,105,073
  6. Step 6: Final answer
    x = 302,912,690.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.