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Finding the Third Proportional to 45,770 and 99,153

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Solution

The third proportional to 45,770 and 99,153 is: 214,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,770 : 99,153 = 99,153 : x
  2. Step 2: Convert to fraction form
    45,770/99,153 = 99,153/x
  3. Step 3: Cross multiply
    45,770x = 99,153 × 99,153
  4. Step 4: Simplify right side
    45,770x = 9,831,317,409
  5. Step 5: Solve for x
    x = 9,831,317,409/45,770
  6. Step 6: Final answer
    x = 214,798.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.