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Finding the Third Proportional to 202,265,335.50 and 302,844,420

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Solution

The third proportional to 202,265,335.50 and 302,844,420 is: 453,437,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,265,335.50 : 302,844,420 = 302,844,420 : x
  2. Step 2: Convert to fraction form
    202,265,335.50/302,844,420 = 302,844,420/x
  3. Step 3: Cross multiply
    202,265,335.50x = 302,844,420 × 302,844,420
  4. Step 4: Simplify right side
    202,265,335.50x = 91,714,742,725,136,400
  5. Step 5: Solve for x
    x = 91,714,742,725,136,400/202,265,335.50
  6. Step 6: Final answer
    x = 453,437,770.24

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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.