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Finding the Third Proportional to 90,118,314 and 185,014,032.75

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Solution

The third proportional to 90,118,314 and 185,014,032.75 is: 379,836,137.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,118,314 : 185,014,032.75 = 185,014,032.75 : x
  2. Step 2: Convert to fraction form
    90,118,314/185,014,032.75 = 185,014,032.75/x
  3. Step 3: Cross multiply
    90,118,314x = 185,014,032.75 × 185,014,032.75
  4. Step 4: Simplify right side
    90,118,314x = 34,230,192,314,418,072
  5. Step 5: Solve for x
    x = 34,230,192,314,418,072/90,118,314
  6. Step 6: Final answer
    x = 379,836,137.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.