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Finding the Third Proportional to 100,510.88 and 147,690.84

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Solution

The third proportional to 100,510.88 and 147,690.84 is: 217,017.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,510.88 : 147,690.84 = 147,690.84 : x
  2. Step 2: Convert to fraction form
    100,510.88/147,690.84 = 147,690.84/x
  3. Step 3: Cross multiply
    100,510.88x = 147,690.84 × 147,690.84
  4. Step 4: Simplify right side
    100,510.88x = 21,812,585,327.59
  5. Step 5: Solve for x
    x = 21,812,585,327.59/100,510.88
  6. Step 6: Final answer
    x = 217,017.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.