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Finding the Third Proportional to 121,023,340,502 and 180,867,985,228

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Solution

The third proportional to 121,023,340,502 and 180,867,985,228 is: 270,305,115,895.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,023,340,502 : 180,867,985,228 = 180,867,985,228 : x
  2. Step 2: Convert to fraction form
    121,023,340,502/180,867,985,228 = 180,867,985,228/x
  3. Step 3: Cross multiply
    121,023,340,502x = 180,867,985,228 × 180,867,985,228
  4. Step 4: Simplify right side
    121,023,340,502x = 32,713,228,080,436,024,967,168
  5. Step 5: Solve for x
    x = 32,713,228,080,436,024,967,168/121,023,340,502
  6. Step 6: Final answer
    x = 270,305,115,895.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.