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Finding the Third Proportional to 99,084,243 and 207,202,983

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Solution

The third proportional to 99,084,243 and 207,202,983 is: 433,298,725.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,084,243 : 207,202,983 = 207,202,983 : x
  2. Step 2: Convert to fraction form
    99,084,243/207,202,983 = 207,202,983/x
  3. Step 3: Cross multiply
    99,084,243x = 207,202,983 × 207,202,983
  4. Step 4: Simplify right side
    99,084,243x = 42,933,076,164,098,288
  5. Step 5: Solve for x
    x = 42,933,076,164,098,288/99,084,243
  6. Step 6: Final answer
    x = 433,298,725.05

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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.