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Finding the Third Proportional to 179,869,824 and 387,020,232

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Solution

The third proportional to 179,869,824 and 387,020,232 is: 832,739,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,869,824 : 387,020,232 = 387,020,232 : x
  2. Step 2: Convert to fraction form
    179,869,824/387,020,232 = 387,020,232/x
  3. Step 3: Cross multiply
    179,869,824x = 387,020,232 × 387,020,232
  4. Step 4: Simplify right side
    179,869,824x = 149,784,659,977,333,824
  5. Step 5: Solve for x
    x = 149,784,659,977,333,824/179,869,824
  6. Step 6: Final answer
    x = 832,739,236.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.