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Finding the Third Proportional to 178,331,842 and 251,130,531

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Solution

The third proportional to 178,331,842 and 251,130,531 is: 353,647,127.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,331,842 : 251,130,531 = 251,130,531 : x
  2. Step 2: Convert to fraction form
    178,331,842/251,130,531 = 251,130,531/x
  3. Step 3: Cross multiply
    178,331,842x = 251,130,531 × 251,130,531
  4. Step 4: Simplify right side
    178,331,842x = 63,066,543,600,341,960
  5. Step 5: Solve for x
    x = 63,066,543,600,341,960/178,331,842
  6. Step 6: Final answer
    x = 353,647,127.14

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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.