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Finding the Third Proportional to 84,719.53 and 183,386.67

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Solution

The third proportional to 84,719.53 and 183,386.67 is: 396,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,719.53 : 183,386.67 = 183,386.67 : x
  2. Step 2: Convert to fraction form
    84,719.53/183,386.67 = 183,386.67/x
  3. Step 3: Cross multiply
    84,719.53x = 183,386.67 × 183,386.67
  4. Step 4: Simplify right side
    84,719.53x = 33,630,671,421.39
  5. Step 5: Solve for x
    x = 33,630,671,421.39/84,719.53
  6. Step 6: Final answer
    x = 396,964.80

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Why These Related Problems?

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