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Finding the Third Proportional to 65,161,222.75 and 95,611,608.25

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Solution

The third proportional to 65,161,222.75 and 95,611,608.25 is: 140,291,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,161,222.75 : 95,611,608.25 = 95,611,608.25 : x
  2. Step 2: Convert to fraction form
    65,161,222.75/95,611,608.25 = 95,611,608.25/x
  3. Step 3: Cross multiply
    65,161,222.75x = 95,611,608.25 × 95,611,608.25
  4. Step 4: Simplify right side
    65,161,222.75x = 9,141,579,632,151,468
  5. Step 5: Solve for x
    x = 9,141,579,632,151,468/65,161,222.75
  6. Step 6: Final answer
    x = 140,291,714.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.