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Finding the Third Proportional to 82,622,240.16 and 124,995,991.64

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Solution

The third proportional to 82,622,240.16 and 124,995,991.64 is: 189,101,601.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,622,240.16 : 124,995,991.64 = 124,995,991.64 : x
  2. Step 2: Convert to fraction form
    82,622,240.16/124,995,991.64 = 124,995,991.64/x
  3. Step 3: Cross multiply
    82,622,240.16x = 124,995,991.64 × 124,995,991.64
  4. Step 4: Simplify right side
    82,622,240.16x = 15,623,997,926,224,446
  5. Step 5: Solve for x
    x = 15,623,997,926,224,446/82,622,240.16
  6. Step 6: Final answer
    x = 189,101,601.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.