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Finding the Third Proportional to 45,438 and 99,300

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Solution

The third proportional to 45,438 and 99,300 is: 217,009.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,438 : 99,300 = 99,300 : x
  2. Step 2: Convert to fraction form
    45,438/99,300 = 99,300/x
  3. Step 3: Cross multiply
    45,438x = 99,300 × 99,300
  4. Step 4: Simplify right side
    45,438x = 9,860,490,000
  5. Step 5: Solve for x
    x = 9,860,490,000/45,438
  6. Step 6: Final answer
    x = 217,009.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.