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Finding the Third Proportional to 162,189,087.75 and 353,850,638.63

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Solution

The third proportional to 162,189,087.75 and 353,850,638.63 is: 772,001,841.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,189,087.75 : 353,850,638.63 = 353,850,638.63 : x
  2. Step 2: Convert to fraction form
    162,189,087.75/353,850,638.63 = 353,850,638.63/x
  3. Step 3: Cross multiply
    162,189,087.75x = 353,850,638.63 × 353,850,638.63
  4. Step 4: Simplify right side
    162,189,087.75x = 125,210,274,455,320,336
  5. Step 5: Solve for x
    x = 125,210,274,455,320,336/162,189,087.75
  6. Step 6: Final answer
    x = 772,001,841.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.