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Finding the Third Proportional to 52,405,570.50 and 110,232,435

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Solution

The third proportional to 52,405,570.50 and 110,232,435 is: 231,868,284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,405,570.50 : 110,232,435 = 110,232,435 : x
  2. Step 2: Convert to fraction form
    52,405,570.50/110,232,435 = 110,232,435/x
  3. Step 3: Cross multiply
    52,405,570.50x = 110,232,435 × 110,232,435
  4. Step 4: Simplify right side
    52,405,570.50x = 12,151,189,726,029,224
  5. Step 5: Solve for x
    x = 12,151,189,726,029,224/52,405,570.50
  6. Step 6: Final answer
    x = 231,868,284.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.