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Finding the Third Proportional to 65,718,993 and 102,160,551

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Solution

The third proportional to 65,718,993 and 102,160,551 is: 158,809,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,718,993 : 102,160,551 = 102,160,551 : x
  2. Step 2: Convert to fraction form
    65,718,993/102,160,551 = 102,160,551/x
  3. Step 3: Cross multiply
    65,718,993x = 102,160,551 × 102,160,551
  4. Step 4: Simplify right side
    65,718,993x = 10,436,778,180,623,600
  5. Step 5: Solve for x
    x = 10,436,778,180,623,600/65,718,993
  6. Step 6: Final answer
    x = 158,809,161.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.