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Finding the Third Proportional to 100,470,560.03 and 216,335,840.17

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Solution

The third proportional to 100,470,560.03 and 216,335,840.17 is: 465,819,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,470,560.03 : 216,335,840.17 = 216,335,840.17 : x
  2. Step 2: Convert to fraction form
    100,470,560.03/216,335,840.17 = 216,335,840.17/x
  3. Step 3: Cross multiply
    100,470,560.03x = 216,335,840.17 × 216,335,840.17
  4. Step 4: Simplify right side
    100,470,560.03x = 46,801,195,741,181,464
  5. Step 5: Solve for x
    x = 46,801,195,741,181,464/100,470,560.03
  6. Step 6: Final answer
    x = 465,819,994.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.