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Finding the Third Proportional to 117,316,810 and 177,485,173.50

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Solution

The third proportional to 117,316,810 and 177,485,173.50 is: 268,512,132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,316,810 : 177,485,173.50 = 177,485,173.50 : x
  2. Step 2: Convert to fraction form
    117,316,810/177,485,173.50 = 177,485,173.50/x
  3. Step 3: Cross multiply
    117,316,810x = 177,485,173.50 × 177,485,173.50
  4. Step 4: Simplify right side
    117,316,810x = 31,500,986,812,325,104
  5. Step 5: Solve for x
    x = 31,500,986,812,325,104/117,316,810
  6. Step 6: Final answer
    x = 268,512,132.34

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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.