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Finding the Third Proportional to 105,621,919.50 and 161,569,618.50

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Solution

The third proportional to 105,621,919.50 and 161,569,618.50 is: 247,152,690.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,621,919.50 : 161,569,618.50 = 161,569,618.50 : x
  2. Step 2: Convert to fraction form
    105,621,919.50/161,569,618.50 = 161,569,618.50/x
  3. Step 3: Cross multiply
    105,621,919.50x = 161,569,618.50 × 161,569,618.50
  4. Step 4: Simplify right side
    105,621,919.50x = 26,104,741,622,235,544
  5. Step 5: Solve for x
    x = 26,104,741,622,235,544/105,621,919.50
  6. Step 6: Final answer
    x = 247,152,690.90

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Why These Related Problems?

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