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Finding the Third Proportional to 108,465.19 and 233,578.69

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Solution

The third proportional to 108,465.19 and 233,578.69 is: 503,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,465.19 : 233,578.69 = 233,578.69 : x
  2. Step 2: Convert to fraction form
    108,465.19/233,578.69 = 233,578.69/x
  3. Step 3: Cross multiply
    108,465.19x = 233,578.69 × 233,578.69
  4. Step 4: Simplify right side
    108,465.19x = 54,559,003,254.22
  5. Step 5: Solve for x
    x = 54,559,003,254.22/108,465.19
  6. Step 6: Final answer
    x = 503,009.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.