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Finding the Third Proportional to 46,332 and 101,624.63

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Solution

The third proportional to 46,332 and 101,624.63 is: 222,903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,332 : 101,624.63 = 101,624.63 : x
  2. Step 2: Convert to fraction form
    46,332/101,624.63 = 101,624.63/x
  3. Step 3: Cross multiply
    46,332x = 101,624.63 × 101,624.63
  4. Step 4: Simplify right side
    46,332x = 10,327,564,406.39
  5. Step 5: Solve for x
    x = 10,327,564,406.39/46,332
  6. Step 6: Final answer
    x = 222,903.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.