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Finding the Third Proportional to 75,685.01 and 163,802.88

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Solution

The third proportional to 75,685.01 and 163,802.88 is: 354,513.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,685.01 : 163,802.88 = 163,802.88 : x
  2. Step 2: Convert to fraction form
    75,685.01/163,802.88 = 163,802.88/x
  3. Step 3: Cross multiply
    75,685.01x = 163,802.88 × 163,802.88
  4. Step 4: Simplify right side
    75,685.01x = 26,831,384,417.69
  5. Step 5: Solve for x
    x = 26,831,384,417.69/75,685.01
  6. Step 6: Final answer
    x = 354,513.86

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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.