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Finding the Third Proportional to 99,817,138,397 and 221,951,964,438

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Solution

The third proportional to 99,817,138,397 and 221,951,964,438 is: 493,529,220,622.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,817,138,397 : 221,951,964,438 = 221,951,964,438 : x
  2. Step 2: Convert to fraction form
    99,817,138,397/221,951,964,438 = 221,951,964,438/x
  3. Step 3: Cross multiply
    99,817,138,397x = 221,951,964,438 × 221,951,964,438
  4. Step 4: Simplify right side
    99,817,138,397x = 49,262,674,517,887,213,895,680
  5. Step 5: Solve for x
    x = 49,262,674,517,887,213,895,680/99,817,138,397
  6. Step 6: Final answer
    x = 493,529,220,622.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.