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Finding the Third Proportional to 204,272,464 and 305,684,952

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Solution

The third proportional to 204,272,464 and 305,684,952 is: 457,444,376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,272,464 : 305,684,952 = 305,684,952 : x
  2. Step 2: Convert to fraction form
    204,272,464/305,684,952 = 305,684,952/x
  3. Step 3: Cross multiply
    204,272,464x = 305,684,952 × 305,684,952
  4. Step 4: Simplify right side
    204,272,464x = 93,443,289,879,242,304
  5. Step 5: Solve for x
    x = 93,443,289,879,242,304/204,272,464
  6. Step 6: Final answer
    x = 457,444,376.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.