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Finding the Third Proportional to 115,618,523 and 166,184,400

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Solution

The third proportional to 115,618,523 and 166,184,400 is: 238,865,314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,618,523 : 166,184,400 = 166,184,400 : x
  2. Step 2: Convert to fraction form
    115,618,523/166,184,400 = 166,184,400/x
  3. Step 3: Cross multiply
    115,618,523x = 166,184,400 × 166,184,400
  4. Step 4: Simplify right side
    115,618,523x = 27,617,254,803,360,000
  5. Step 5: Solve for x
    x = 27,617,254,803,360,000/115,618,523
  6. Step 6: Final answer
    x = 238,865,314.02

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.