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Finding the Third Proportional to 100,935,432 and 151,235,226

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Solution

The third proportional to 100,935,432 and 151,235,226 is: 226,601,235.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,935,432 : 151,235,226 = 151,235,226 : x
  2. Step 2: Convert to fraction form
    100,935,432/151,235,226 = 151,235,226/x
  3. Step 3: Cross multiply
    100,935,432x = 151,235,226 × 151,235,226
  4. Step 4: Simplify right side
    100,935,432x = 22,872,093,583,271,076
  5. Step 5: Solve for x
    x = 22,872,093,583,271,076/100,935,432
  6. Step 6: Final answer
    x = 226,601,235.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.