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Finding the Third Proportional to 99,817,138,386 and 221,951,964,415.50

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Solution

The third proportional to 99,817,138,386 and 221,951,964,415.50 is: 493,529,220,577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,817,138,386 : 221,951,964,415.50 = 221,951,964,415.50 : x
  2. Step 2: Convert to fraction form
    99,817,138,386/221,951,964,415.50 = 221,951,964,415.50/x
  3. Step 3: Cross multiply
    99,817,138,386x = 221,951,964,415.50 × 221,951,964,415.50
  4. Step 4: Simplify right side
    99,817,138,386x = 49,262,674,507,899,376,500,736
  5. Step 5: Solve for x
    x = 49,262,674,507,899,376,500,736/99,817,138,386
  6. Step 6: Final answer
    x = 493,529,220,577.30

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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.