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Finding the Third Proportional to 158,586,099 and 223,327,540.50

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Solution

The third proportional to 158,586,099 and 223,327,540.50 is: 314,499,131.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,586,099 : 223,327,540.50 = 223,327,540.50 : x
  2. Step 2: Convert to fraction form
    158,586,099/223,327,540.50 = 223,327,540.50/x
  3. Step 3: Cross multiply
    158,586,099x = 223,327,540.50 × 223,327,540.50
  4. Step 4: Simplify right side
    158,586,099x = 49,875,190,345,779,144
  5. Step 5: Solve for x
    x = 49,875,190,345,779,144/158,586,099
  6. Step 6: Final answer
    x = 314,499,131.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.