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Finding the Third Proportional to 164,445,894.56 and 365,659,295.63

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Solution

The third proportional to 164,445,894.56 and 365,659,295.63 is: 813,074,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,445,894.56 : 365,659,295.63 = 365,659,295.63 : x
  2. Step 2: Convert to fraction form
    164,445,894.56/365,659,295.63 = 365,659,295.63/x
  3. Step 3: Cross multiply
    164,445,894.56x = 365,659,295.63 × 365,659,295.63
  4. Step 4: Simplify right side
    164,445,894.56x = 133,706,720,476,971,152
  5. Step 5: Solve for x
    x = 133,706,720,476,971,152/164,445,894.56
  6. Step 6: Final answer
    x = 813,074,238.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.