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Finding the Third Proportional to 117,316,842 and 177,485,197.50

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Solution

The third proportional to 117,316,842 and 177,485,197.50 is: 268,512,131.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,316,842 : 177,485,197.50 = 177,485,197.50 : x
  2. Step 2: Convert to fraction form
    117,316,842/177,485,197.50 = 177,485,197.50/x
  3. Step 3: Cross multiply
    117,316,842x = 177,485,197.50 × 177,485,197.50
  4. Step 4: Simplify right side
    117,316,842x = 31,500,995,331,614,008
  5. Step 5: Solve for x
    x = 31,500,995,331,614,008/117,316,842
  6. Step 6: Final answer
    x = 268,512,131.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.