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Finding the Third Proportional to 76,725,160 and 164,366,959

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Solution

The third proportional to 76,725,160 and 164,366,959 is: 352,120,441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,725,160 : 164,366,959 = 164,366,959 : x
  2. Step 2: Convert to fraction form
    76,725,160/164,366,959 = 164,366,959/x
  3. Step 3: Cross multiply
    76,725,160x = 164,366,959 × 164,366,959
  4. Step 4: Simplify right side
    76,725,160x = 27,016,497,210,907,680
  5. Step 5: Solve for x
    x = 27,016,497,210,907,680/76,725,160
  6. Step 6: Final answer
    x = 352,120,441.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.