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Finding the Third Proportional to 178,331,840 and 251,130,528

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Solution

The third proportional to 178,331,840 and 251,130,528 is: 353,647,122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,331,840 : 251,130,528 = 251,130,528 : x
  2. Step 2: Convert to fraction form
    178,331,840/251,130,528 = 251,130,528/x
  3. Step 3: Cross multiply
    178,331,840x = 251,130,528 × 251,130,528
  4. Step 4: Simplify right side
    178,331,840x = 63,066,542,093,558,784
  5. Step 5: Solve for x
    x = 63,066,542,093,558,784/178,331,840
  6. Step 6: Final answer
    x = 353,647,122.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.