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Finding the Third Proportional to 117,295,708 and 257,668,640

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Solution

The third proportional to 117,295,708 and 257,668,640 is: 566,032,032.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,295,708 : 257,668,640 = 257,668,640 : x
  2. Step 2: Convert to fraction form
    117,295,708/257,668,640 = 257,668,640/x
  3. Step 3: Cross multiply
    117,295,708x = 257,668,640 × 257,668,640
  4. Step 4: Simplify right side
    117,295,708x = 66,393,128,039,449,600
  5. Step 5: Solve for x
    x = 66,393,128,039,449,600/117,295,708
  6. Step 6: Final answer
    x = 566,032,032.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.