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Finding the Third Proportional to 45,580 and 99,333

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Solution

The third proportional to 45,580 and 99,333 is: 216,477.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,580 : 99,333 = 99,333 : x
  2. Step 2: Convert to fraction form
    45,580/99,333 = 99,333/x
  3. Step 3: Cross multiply
    45,580x = 99,333 × 99,333
  4. Step 4: Simplify right side
    45,580x = 9,867,044,889
  5. Step 5: Solve for x
    x = 9,867,044,889/45,580
  6. Step 6: Final answer
    x = 216,477.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.