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Finding the Third Proportional to 133,575,166.50 and 204,335,110.50

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Solution

The third proportional to 133,575,166.50 and 204,335,110.50 is: 312,579,339.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,575,166.50 : 204,335,110.50 = 204,335,110.50 : x
  2. Step 2: Convert to fraction form
    133,575,166.50/204,335,110.50 = 204,335,110.50/x
  3. Step 3: Cross multiply
    133,575,166.50x = 204,335,110.50 × 204,335,110.50
  4. Step 4: Simplify right side
    133,575,166.50x = 41,752,837,383,047,208
  5. Step 5: Solve for x
    x = 41,752,837,383,047,208/133,575,166.50
  6. Step 6: Final answer
    x = 312,579,339.99

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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.