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Finding the Third Proportional to 116,445.94 and 164,804.63

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Solution

The third proportional to 116,445.94 and 164,804.63 is: 233,246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,445.94 : 164,804.63 = 164,804.63 : x
  2. Step 2: Convert to fraction form
    116,445.94/164,804.63 = 164,804.63/x
  3. Step 3: Cross multiply
    116,445.94x = 164,804.63 × 164,804.63
  4. Step 4: Simplify right side
    116,445.94x = 27,160,564,421.39
  5. Step 5: Solve for x
    x = 27,160,564,421.39/116,445.94
  6. Step 6: Final answer
    x = 233,246.13

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.