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Finding the Third Proportional to 129,932,546.63 and 288,915,963.56

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Solution

The third proportional to 129,932,546.63 and 288,915,963.56 is: 642,428,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,932,546.63 : 288,915,963.56 = 288,915,963.56 : x
  2. Step 2: Convert to fraction form
    129,932,546.63/288,915,963.56 = 288,915,963.56/x
  3. Step 3: Cross multiply
    129,932,546.63x = 288,915,963.56 × 288,915,963.56
  4. Step 4: Simplify right side
    129,932,546.63x = 83,472,434,001,247,824
  5. Step 5: Solve for x
    x = 83,472,434,001,247,824/129,932,546.63
  6. Step 6: Final answer
    x = 642,428,984.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.