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Finding the Third Proportional to 52,909,762.50 and 107,945,208

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Solution

The third proportional to 52,909,762.50 and 107,945,208 is: 220,227,182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,909,762.50 : 107,945,208 = 107,945,208 : x
  2. Step 2: Convert to fraction form
    52,909,762.50/107,945,208 = 107,945,208/x
  3. Step 3: Cross multiply
    52,909,762.50x = 107,945,208 × 107,945,208
  4. Step 4: Simplify right side
    52,909,762.50x = 11,652,167,930,163,264
  5. Step 5: Solve for x
    x = 11,652,167,930,163,264/52,909,762.50
  6. Step 6: Final answer
    x = 220,227,182.65

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.