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Finding the Third Proportional to 91,707 and 216,139.50

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Solution

The third proportional to 91,707 and 216,139.50 is: 509,408.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,707 : 216,139.50 = 216,139.50 : x
  2. Step 2: Convert to fraction form
    91,707/216,139.50 = 216,139.50/x
  3. Step 3: Cross multiply
    91,707x = 216,139.50 × 216,139.50
  4. Step 4: Simplify right side
    91,707x = 46,716,283,460.25
  5. Step 5: Solve for x
    x = 46,716,283,460.25/91,707
  6. Step 6: Final answer
    x = 509,408.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.