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Finding the Third Proportional to 204,953,970.50 and 442,566,410

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Solution

The third proportional to 204,953,970.50 and 442,566,410 is: 955,653,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,953,970.50 : 442,566,410 = 442,566,410 : x
  2. Step 2: Convert to fraction form
    204,953,970.50/442,566,410 = 442,566,410/x
  3. Step 3: Cross multiply
    204,953,970.50x = 442,566,410 × 442,566,410
  4. Step 4: Simplify right side
    204,953,970.50x = 195,865,027,260,288,096
  5. Step 5: Solve for x
    x = 195,865,027,260,288,096/204,953,970.50
  6. Step 6: Final answer
    x = 955,653,734.26

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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.