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Finding the Third Proportional to 201,823,289 and 306,816,241.50

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Solution

The third proportional to 201,823,289 and 306,816,241.50 is: 466,428,857.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,823,289 : 306,816,241.50 = 306,816,241.50 : x
  2. Step 2: Convert to fraction form
    201,823,289/306,816,241.50 = 306,816,241.50/x
  3. Step 3: Cross multiply
    201,823,289x = 306,816,241.50 × 306,816,241.50
  4. Step 4: Simplify right side
    201,823,289x = 94,136,206,048,186,320
  5. Step 5: Solve for x
    x = 94,136,206,048,186,320/201,823,289
  6. Step 6: Final answer
    x = 466,428,857.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.