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Finding the Third Proportional to 99,764,692,724 and 217,091,994,664

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Solution

The third proportional to 99,764,692,724 and 217,091,994,664 is: 472,400,935,244.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,764,692,724 : 217,091,994,664 = 217,091,994,664 : x
  2. Step 2: Convert to fraction form
    99,764,692,724/217,091,994,664 = 217,091,994,664/x
  3. Step 3: Cross multiply
    99,764,692,724x = 217,091,994,664 × 217,091,994,664
  4. Step 4: Simplify right side
    99,764,692,724x = 47,128,934,147,194,206,814,208
  5. Step 5: Solve for x
    x = 47,128,934,147,194,206,814,208/99,764,692,724
  6. Step 6: Final answer
    x = 472,400,935,244.46

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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.