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Finding the Third Proportional to 90,488,084,043 and 190,353,464,214

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Solution

The third proportional to 90,488,084,043 and 190,353,464,214 is: 400,433,291,537.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,488,084,043 : 190,353,464,214 = 190,353,464,214 : x
  2. Step 2: Convert to fraction form
    90,488,084,043/190,353,464,214 = 190,353,464,214/x
  3. Step 3: Cross multiply
    90,488,084,043x = 190,353,464,214 × 190,353,464,214
  4. Step 4: Simplify right side
    90,488,084,043x = 36,234,441,338,270,578,114,560
  5. Step 5: Solve for x
    x = 36,234,441,338,270,578,114,560/90,488,084,043
  6. Step 6: Final answer
    x = 400,433,291,537.61

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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.