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Finding the Third Proportional to 216,252,117 and 471,800,851.50

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Solution

The third proportional to 216,252,117 and 471,800,851.50 is: 1,029,335,789.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,252,117 : 471,800,851.50 = 471,800,851.50 : x
  2. Step 2: Convert to fraction form
    216,252,117/471,800,851.50 = 471,800,851.50/x
  3. Step 3: Cross multiply
    216,252,117x = 471,800,851.50 × 471,800,851.50
  4. Step 4: Simplify right side
    216,252,117x = 222,596,043,476,125,056
  5. Step 5: Solve for x
    x = 222,596,043,476,125,056/216,252,117
  6. Step 6: Final answer
    x = 1,029,335,789.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.