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Finding the Third Proportional to 100,035 and 216,677.53

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Solution

The third proportional to 100,035 and 216,677.53 is: 469,327.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,035 : 216,677.53 = 216,677.53 : x
  2. Step 2: Convert to fraction form
    100,035/216,677.53 = 216,677.53/x
  3. Step 3: Cross multiply
    100,035x = 216,677.53 × 216,677.53
  4. Step 4: Simplify right side
    100,035x = 46,949,152,548.59
  5. Step 5: Solve for x
    x = 46,949,152,548.59/100,035
  6. Step 6: Final answer
    x = 469,327.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.