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Finding the Third Proportional to 147,328,494 and 231,114,931

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Solution

The third proportional to 147,328,494 and 231,114,931 is: 362,551,125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,328,494 : 231,114,931 = 231,114,931 : x
  2. Step 2: Convert to fraction form
    147,328,494/231,114,931 = 231,114,931/x
  3. Step 3: Cross multiply
    147,328,494x = 231,114,931 × 231,114,931
  4. Step 4: Simplify right side
    147,328,494x = 53,414,111,331,134,760
  5. Step 5: Solve for x
    x = 53,414,111,331,134,760/147,328,494
  6. Step 6: Final answer
    x = 362,551,125.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.