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Finding the Third Proportional to 99,764,692,709 and 217,091,994,634

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Solution

The third proportional to 99,764,692,709 and 217,091,994,634 is: 472,400,935,184.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,764,692,709 : 217,091,994,634 = 217,091,994,634 : x
  2. Step 2: Convert to fraction form
    99,764,692,709/217,091,994,634 = 217,091,994,634/x
  3. Step 3: Cross multiply
    99,764,692,709x = 217,091,994,634 × 217,091,994,634
  4. Step 4: Simplify right side
    99,764,692,709x = 47,128,934,134,168,686,690,304
  5. Step 5: Solve for x
    x = 47,128,934,134,168,686,690,304/99,764,692,709
  6. Step 6: Final answer
    x = 472,400,935,184.93

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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.