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Finding the Third Proportional to 200,290,199 and 427,035,976

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Solution

The third proportional to 200,290,199 and 427,035,976 is: 910,477,525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,290,199 : 427,035,976 = 427,035,976 : x
  2. Step 2: Convert to fraction form
    200,290,199/427,035,976 = 427,035,976/x
  3. Step 3: Cross multiply
    200,290,199x = 427,035,976 × 427,035,976
  4. Step 4: Simplify right side
    200,290,199x = 182,359,724,798,272,576
  5. Step 5: Solve for x
    x = 182,359,724,798,272,576/200,290,199
  6. Step 6: Final answer
    x = 910,477,525.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.