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Finding the Third Proportional to 184,239,999,847 and 283,064,397,202.50

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Solution

The third proportional to 184,239,999,847 and 283,064,397,202.50 is: 434,897,161,475.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,239,999,847 : 283,064,397,202.50 = 283,064,397,202.50 : x
  2. Step 2: Convert to fraction form
    184,239,999,847/283,064,397,202.50 = 283,064,397,202.50/x
  3. Step 3: Cross multiply
    184,239,999,847x = 283,064,397,202.50 × 283,064,397,202.50
  4. Step 4: Simplify right side
    184,239,999,847x = 80,125,452,963,614,696,669,184
  5. Step 5: Solve for x
    x = 80,125,452,963,614,696,669,184/184,239,999,847
  6. Step 6: Final answer
    x = 434,897,161,475.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.