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Finding the Third Proportional to 90,488,084,040 and 190,353,464,208

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Solution

The third proportional to 90,488,084,040 and 190,353,464,208 is: 400,433,291,525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,488,084,040 : 190,353,464,208 = 190,353,464,208 : x
  2. Step 2: Convert to fraction form
    90,488,084,040/190,353,464,208 = 190,353,464,208/x
  3. Step 3: Cross multiply
    90,488,084,040x = 190,353,464,208 × 190,353,464,208
  4. Step 4: Simplify right side
    90,488,084,040x = 36,234,441,335,986,334,990,336
  5. Step 5: Solve for x
    x = 36,234,441,335,986,334,990,336/90,488,084,040
  6. Step 6: Final answer
    x = 400,433,291,525.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.