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Finding the Third Proportional to 201,823,288 and 306,816,240

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Solution

The third proportional to 201,823,288 and 306,816,240 is: 466,428,854.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,823,288 : 306,816,240 = 306,816,240 : x
  2. Step 2: Convert to fraction form
    201,823,288/306,816,240 = 306,816,240/x
  3. Step 3: Cross multiply
    201,823,288x = 306,816,240 × 306,816,240
  4. Step 4: Simplify right side
    201,823,288x = 94,136,205,127,737,600
  5. Step 5: Solve for x
    x = 94,136,205,127,737,600/201,823,288
  6. Step 6: Final answer
    x = 466,428,854.97

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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.