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Finding the Third Proportional to 76,305,094 and 165,277,292

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Solution

The third proportional to 76,305,094 and 165,277,292 is: 357,991,607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,305,094 : 165,277,292 = 165,277,292 : x
  2. Step 2: Convert to fraction form
    76,305,094/165,277,292 = 165,277,292/x
  3. Step 3: Cross multiply
    76,305,094x = 165,277,292 × 165,277,292
  4. Step 4: Simplify right side
    76,305,094x = 27,316,583,250,853,264
  5. Step 5: Solve for x
    x = 27,316,583,250,853,264/76,305,094
  6. Step 6: Final answer
    x = 357,991,607.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.