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Finding the Third Proportional to 79,666,370.44 and 171,439,646.34

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Solution

The third proportional to 79,666,370.44 and 171,439,646.34 is: 368,932,991.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,666,370.44 : 171,439,646.34 = 171,439,646.34 : x
  2. Step 2: Convert to fraction form
    79,666,370.44/171,439,646.34 = 171,439,646.34/x
  3. Step 3: Cross multiply
    79,666,370.44x = 171,439,646.34 × 171,439,646.34
  4. Step 4: Simplify right side
    79,666,370.44x = 29,391,552,338,470,072
  5. Step 5: Solve for x
    x = 29,391,552,338,470,072/79,666,370.44
  6. Step 6: Final answer
    x = 368,932,991.14

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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.