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Finding the Third Proportional to 130,466,157.75 and 182,496,633.75

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Solution

The third proportional to 130,466,157.75 and 182,496,633.75 is: 255,277,091.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,466,157.75 : 182,496,633.75 = 182,496,633.75 : x
  2. Step 2: Convert to fraction form
    130,466,157.75/182,496,633.75 = 182,496,633.75/x
  3. Step 3: Cross multiply
    130,466,157.75x = 182,496,633.75 × 182,496,633.75
  4. Step 4: Simplify right side
    130,466,157.75x = 33,305,021,330,081,640
  5. Step 5: Solve for x
    x = 33,305,021,330,081,640/130,466,157.75
  6. Step 6: Final answer
    x = 255,277,091.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.