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Finding the Third Proportional to 105,612,963.75 and 161,558,269.03

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Solution

The third proportional to 105,612,963.75 and 161,558,269.03 is: 247,138,924.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,612,963.75 : 161,558,269.03 = 161,558,269.03 : x
  2. Step 2: Convert to fraction form
    105,612,963.75/161,558,269.03 = 161,558,269.03/x
  3. Step 3: Cross multiply
    105,612,963.75x = 161,558,269.03 × 161,558,269.03
  4. Step 4: Simplify right side
    105,612,963.75x = 26,101,074,292,373,752
  5. Step 5: Solve for x
    x = 26,101,074,292,373,752/105,612,963.75
  6. Step 6: Final answer
    x = 247,138,924.67

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.