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Finding the Third Proportional to 51,538,591.50 and 111,147,214.50

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Solution

The third proportional to 51,538,591.50 and 111,147,214.50 is: 239,698,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,538,591.50 : 111,147,214.50 = 111,147,214.50 : x
  2. Step 2: Convert to fraction form
    51,538,591.50/111,147,214.50 = 111,147,214.50/x
  3. Step 3: Cross multiply
    51,538,591.50x = 111,147,214.50 × 111,147,214.50
  4. Step 4: Simplify right side
    51,538,591.50x = 12,353,703,291,109,010
  5. Step 5: Solve for x
    x = 12,353,703,291,109,010/51,538,591.50
  6. Step 6: Final answer
    x = 239,698,116.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.