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Finding the Third Proportional to 76,305,090 and 165,277,284

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Solution

The third proportional to 76,305,090 and 165,277,284 is: 357,991,591.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,305,090 : 165,277,284 = 165,277,284 : x
  2. Step 2: Convert to fraction form
    76,305,090/165,277,284 = 165,277,284/x
  3. Step 3: Cross multiply
    76,305,090x = 165,277,284 × 165,277,284
  4. Step 4: Simplify right side
    76,305,090x = 27,316,580,606,416,656
  5. Step 5: Solve for x
    x = 27,316,580,606,416,656/76,305,090
  6. Step 6: Final answer
    x = 357,991,591.47

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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.