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Finding the Third Proportional to 204,954,428.78 and 442,566,962.63

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Solution

The third proportional to 204,954,428.78 and 442,566,962.63 is: 955,653,984.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,954,428.78 : 442,566,962.63 = 442,566,962.63 : x
  2. Step 2: Convert to fraction form
    204,954,428.78/442,566,962.63 = 442,566,962.63/x
  3. Step 3: Cross multiply
    204,954,428.78x = 442,566,962.63 × 442,566,962.63
  4. Step 4: Simplify right side
    204,954,428.78x = 195,865,516,412,296,192
  5. Step 5: Solve for x
    x = 195,865,516,412,296,192/204,954,428.78
  6. Step 6: Final answer
    x = 955,653,984.06

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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.