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Finding the Third Proportional to 76,725,175 and 164,366,995

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Solution

The third proportional to 76,725,175 and 164,366,995 is: 352,120,526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,725,175 : 164,366,995 = 164,366,995 : x
  2. Step 2: Convert to fraction form
    76,725,175/164,366,995 = 164,366,995/x
  3. Step 3: Cross multiply
    76,725,175x = 164,366,995 × 164,366,995
  4. Step 4: Simplify right side
    76,725,175x = 27,016,509,045,330,024
  5. Step 5: Solve for x
    x = 27,016,509,045,330,024/76,725,175
  6. Step 6: Final answer
    x = 352,120,526.87

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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.