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Finding the Third Proportional to 115,646,010 and 158,581,965

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Solution

The third proportional to 115,646,010 and 158,581,965 is: 217,458,774.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,646,010 : 158,581,965 = 158,581,965 : x
  2. Step 2: Convert to fraction form
    115,646,010/158,581,965 = 158,581,965/x
  3. Step 3: Cross multiply
    115,646,010x = 158,581,965 × 158,581,965
  4. Step 4: Simplify right side
    115,646,010x = 25,148,239,623,261,224
  5. Step 5: Solve for x
    x = 25,148,239,623,261,224/115,646,010
  6. Step 6: Final answer
    x = 217,458,774.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.