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Finding the Third Proportional to 52,405,564.50 and 110,232,423

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Solution

The third proportional to 52,405,564.50 and 110,232,423 is: 231,868,260.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,405,564.50 : 110,232,423 = 110,232,423 : x
  2. Step 2: Convert to fraction form
    52,405,564.50/110,232,423 = 110,232,423/x
  3. Step 3: Cross multiply
    52,405,564.50x = 110,232,423 × 110,232,423
  4. Step 4: Simplify right side
    52,405,564.50x = 12,151,187,080,450,928
  5. Step 5: Solve for x
    x = 12,151,187,080,450,928/52,405,564.50
  6. Step 6: Final answer
    x = 231,868,260.49

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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.