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Finding the Third Proportional to 99,875.81 and 214,574.63

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Solution

The third proportional to 99,875.81 and 214,574.63 is: 460,995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,875.81 : 214,574.63 = 214,574.63 : x
  2. Step 2: Convert to fraction form
    99,875.81/214,574.63 = 214,574.63/x
  3. Step 3: Cross multiply
    99,875.81x = 214,574.63 × 214,574.63
  4. Step 4: Simplify right side
    99,875.81x = 46,042,269,693.89
  5. Step 5: Solve for x
    x = 46,042,269,693.89/99,875.81
  6. Step 6: Final answer
    x = 460,995.20

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.