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Finding the Third Proportional to 65,725,812 and 102,172,968

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Solution

The third proportional to 65,725,812 and 102,172,968 is: 158,831,288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,725,812 : 102,172,968 = 102,172,968 : x
  2. Step 2: Convert to fraction form
    65,725,812/102,172,968 = 102,172,968/x
  3. Step 3: Cross multiply
    65,725,812x = 102,172,968 × 102,172,968
  4. Step 4: Simplify right side
    65,725,812x = 10,439,315,389,929,024
  5. Step 5: Solve for x
    x = 10,439,315,389,929,024/65,725,812
  6. Step 6: Final answer
    x = 158,831,288.23

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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.