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Finding the Third Proportional to 69,551.16 and 148,943.81

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Solution

The third proportional to 69,551.16 and 148,943.81 is: 318,963.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,551.16 : 148,943.81 = 148,943.81 : x
  2. Step 2: Convert to fraction form
    69,551.16/148,943.81 = 148,943.81/x
  3. Step 3: Cross multiply
    69,551.16x = 148,943.81 × 148,943.81
  4. Step 4: Simplify right side
    69,551.16x = 22,184,259,282.04
  5. Step 5: Solve for x
    x = 22,184,259,282.04/69,551.16
  6. Step 6: Final answer
    x = 318,963.20

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.