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Finding the Third Proportional to 114,226,328 and 174,016,380

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Solution

The third proportional to 114,226,328 and 174,016,380 is: 265,102,634.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,226,328 : 174,016,380 = 174,016,380 : x
  2. Step 2: Convert to fraction form
    114,226,328/174,016,380 = 174,016,380/x
  3. Step 3: Cross multiply
    114,226,328x = 174,016,380 × 174,016,380
  4. Step 4: Simplify right side
    114,226,328x = 30,281,700,508,304,400
  5. Step 5: Solve for x
    x = 30,281,700,508,304,400/114,226,328
  6. Step 6: Final answer
    x = 265,102,634.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.