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Finding the Third Proportional to 204,953,982 and 442,566,432

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Solution

The third proportional to 204,953,982 and 442,566,432 is: 955,653,775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,953,982 : 442,566,432 = 442,566,432 : x
  2. Step 2: Convert to fraction form
    204,953,982/442,566,432 = 442,566,432/x
  3. Step 3: Cross multiply
    204,953,982x = 442,566,432 × 442,566,432
  4. Step 4: Simplify right side
    204,953,982x = 195,865,046,733,210,624
  5. Step 5: Solve for x
    x = 195,865,046,733,210,624/204,953,982
  6. Step 6: Final answer
    x = 955,653,775.65

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