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Finding the Third Proportional to 184,064,704 and 293,025,232

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Solution

The third proportional to 184,064,704 and 293,025,232 is: 466,486,972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,064,704 : 293,025,232 = 293,025,232 : x
  2. Step 2: Convert to fraction form
    184,064,704/293,025,232 = 293,025,232/x
  3. Step 3: Cross multiply
    184,064,704x = 293,025,232 × 293,025,232
  4. Step 4: Simplify right side
    184,064,704x = 85,863,786,588,653,824
  5. Step 5: Solve for x
    x = 85,863,786,588,653,824/184,064,704
  6. Step 6: Final answer
    x = 466,486,972.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.