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Finding the Third Proportional to 201,981,659 and 436,248,280

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Solution

The third proportional to 201,981,659 and 436,248,280 is: 942,226,946.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,981,659 : 436,248,280 = 436,248,280 : x
  2. Step 2: Convert to fraction form
    201,981,659/436,248,280 = 436,248,280/x
  3. Step 3: Cross multiply
    201,981,659x = 436,248,280 × 436,248,280
  4. Step 4: Simplify right side
    201,981,659x = 190,312,561,802,958,400
  5. Step 5: Solve for x
    x = 190,312,561,802,958,400/201,981,659
  6. Step 6: Final answer
    x = 942,226,946.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.