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Finding the Third Proportional to 84,647.53 and 183,875.06

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Solution

The third proportional to 84,647.53 and 183,875.06 is: 399,421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,647.53 : 183,875.06 = 183,875.06 : x
  2. Step 2: Convert to fraction form
    84,647.53/183,875.06 = 183,875.06/x
  3. Step 3: Cross multiply
    84,647.53x = 183,875.06 × 183,875.06
  4. Step 4: Simplify right side
    84,647.53x = 33,810,038,609.38
  5. Step 5: Solve for x
    x = 33,810,038,609.38/84,647.53
  6. Step 6: Final answer
    x = 399,421.44

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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.