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Finding the Third Proportional to 165,014,221.50 and 349,699,047.75

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Solution

The third proportional to 165,014,221.50 and 349,699,047.75 is: 741,084,149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,014,221.50 : 349,699,047.75 = 349,699,047.75 : x
  2. Step 2: Convert to fraction form
    165,014,221.50/349,699,047.75 = 349,699,047.75/x
  3. Step 3: Cross multiply
    165,014,221.50x = 349,699,047.75 × 349,699,047.75
  4. Step 4: Simplify right side
    165,014,221.50x = 122,289,423,997,256,784
  5. Step 5: Solve for x
    x = 122,289,423,997,256,784/165,014,221.50
  6. Step 6: Final answer
    x = 741,084,149.51

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.