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Finding the Third Proportional to 84,210.75 and 181,779.75

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Solution

The third proportional to 84,210.75 and 181,779.75 is: 392,395.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,210.75 : 181,779.75 = 181,779.75 : x
  2. Step 2: Convert to fraction form
    84,210.75/181,779.75 = 181,779.75/x
  3. Step 3: Cross multiply
    84,210.75x = 181,779.75 × 181,779.75
  4. Step 4: Simplify right side
    84,210.75x = 33,043,877,510.06
  5. Step 5: Solve for x
    x = 33,043,877,510.06/84,210.75
  6. Step 6: Final answer
    x = 392,395.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.