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Finding the Third Proportional to 102,476,986.50 and 221,283,207

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Solution

The third proportional to 102,476,986.50 and 221,283,207 is: 477,826,869.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,476,986.50 : 221,283,207 = 221,283,207 : x
  2. Step 2: Convert to fraction form
    102,476,986.50/221,283,207 = 221,283,207/x
  3. Step 3: Cross multiply
    102,476,986.50x = 221,283,207 × 221,283,207
  4. Step 4: Simplify right side
    102,476,986.50x = 48,966,257,700,204,848
  5. Step 5: Solve for x
    x = 48,966,257,700,204,848/102,476,986.50
  6. Step 6: Final answer
    x = 477,826,869.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.