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Finding the Third Proportional to 200,290,151.25 and 427,035,888

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Solution

The third proportional to 200,290,151.25 and 427,035,888 is: 910,477,367.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,290,151.25 : 427,035,888 = 427,035,888 : x
  2. Step 2: Convert to fraction form
    200,290,151.25/427,035,888 = 427,035,888/x
  3. Step 3: Cross multiply
    200,290,151.25x = 427,035,888 × 427,035,888
  4. Step 4: Simplify right side
    200,290,151.25x = 182,359,649,639,948,544
  5. Step 5: Solve for x
    x = 182,359,649,639,948,544/200,290,151.25
  6. Step 6: Final answer
    x = 910,477,367.47

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