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Finding the Third Proportional to 121,384,698 and 177,468,672

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Solution

The third proportional to 121,384,698 and 177,468,672 is: 259,465,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,384,698 : 177,468,672 = 177,468,672 : x
  2. Step 2: Convert to fraction form
    121,384,698/177,468,672 = 177,468,672/x
  3. Step 3: Cross multiply
    121,384,698x = 177,468,672 × 177,468,672
  4. Step 4: Simplify right side
    121,384,698x = 31,495,129,541,443,584
  5. Step 5: Solve for x
    x = 31,495,129,541,443,584/121,384,698
  6. Step 6: Final answer
    x = 259,465,402.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.