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Finding the Third Proportional to 46,172 and 99,726.50

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Solution

The third proportional to 46,172 and 99,726.50 is: 215,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,172 : 99,726.50 = 99,726.50 : x
  2. Step 2: Convert to fraction form
    46,172/99,726.50 = 99,726.50/x
  3. Step 3: Cross multiply
    46,172x = 99,726.50 × 99,726.50
  4. Step 4: Simplify right side
    46,172x = 9,945,374,802.25
  5. Step 5: Solve for x
    x = 9,945,374,802.25/46,172
  6. Step 6: Final answer
    x = 215,398.40

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.