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Finding the Third Proportional to 99,084,238 and 207,202,972

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Solution

The third proportional to 99,084,238 and 207,202,972 is: 433,298,700.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,084,238 : 207,202,972 = 207,202,972 : x
  2. Step 2: Convert to fraction form
    99,084,238/207,202,972 = 207,202,972/x
  3. Step 3: Cross multiply
    99,084,238x = 207,202,972 × 207,202,972
  4. Step 4: Simplify right side
    99,084,238x = 42,933,071,605,632,784
  5. Step 5: Solve for x
    x = 42,933,071,605,632,784/99,084,238
  6. Step 6: Final answer
    x = 433,298,700.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.