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Finding the Third Proportional to 100,557.84 and 147,549.38

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Solution

The third proportional to 100,557.84 and 147,549.38 is: 216,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,557.84 : 147,549.38 = 147,549.38 : x
  2. Step 2: Convert to fraction form
    100,557.84/147,549.38 = 147,549.38/x
  3. Step 3: Cross multiply
    100,557.84x = 147,549.38 × 147,549.38
  4. Step 4: Simplify right side
    100,557.84x = 21,770,818,062.89
  5. Step 5: Solve for x
    x = 21,770,818,062.89/100,557.84
  6. Step 6: Final answer
    x = 216,500.45

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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.