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Finding the Third Proportional to 99,216 and 153,432

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Solution

The third proportional to 99,216 and 153,432 is: 237,274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,216 : 153,432 = 153,432 : x
  2. Step 2: Convert to fraction form
    99,216/153,432 = 153,432/x
  3. Step 3: Cross multiply
    99,216x = 153,432 × 153,432
  4. Step 4: Simplify right side
    99,216x = 23,541,378,624
  5. Step 5: Solve for x
    x = 23,541,378,624/99,216
  6. Step 6: Final answer
    x = 237,274.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.