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Finding the Third Proportional to 104,463 and 152,320.50

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Solution

The third proportional to 104,463 and 152,320.50 is: 222,102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,463 : 152,320.50 = 152,320.50 : x
  2. Step 2: Convert to fraction form
    104,463/152,320.50 = 152,320.50/x
  3. Step 3: Cross multiply
    104,463x = 152,320.50 × 152,320.50
  4. Step 4: Simplify right side
    104,463x = 23,201,534,720.25
  5. Step 5: Solve for x
    x = 23,201,534,720.25/104,463
  6. Step 6: Final answer
    x = 222,102.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.