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Finding the Third Proportional to 99,084,254 and 207,203,006

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Solution

The third proportional to 99,084,254 and 207,203,006 is: 433,298,773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,084,254 : 207,203,006 = 207,203,006 : x
  2. Step 2: Convert to fraction form
    99,084,254/207,203,006 = 207,203,006/x
  3. Step 3: Cross multiply
    99,084,254x = 207,203,006 × 207,203,006
  4. Step 4: Simplify right side
    99,084,254x = 42,933,085,695,436,032
  5. Step 5: Solve for x
    x = 42,933,085,695,436,032/99,084,254
  6. Step 6: Final answer
    x = 433,298,773.14

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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.