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Finding the Third Proportional to 204,394,685.63 and 448,360,624.13

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Solution

The third proportional to 204,394,685.63 and 448,360,624.13 is: 983,524,834.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,394,685.63 : 448,360,624.13 = 448,360,624.13 : x
  2. Step 2: Convert to fraction form
    204,394,685.63/448,360,624.13 = 448,360,624.13/x
  3. Step 3: Cross multiply
    204,394,685.63x = 448,360,624.13 × 448,360,624.13
  4. Step 4: Simplify right side
    204,394,685.63x = 201,027,249,265,759,520
  5. Step 5: Solve for x
    x = 201,027,249,265,759,520/204,394,685.63
  6. Step 6: Final answer
    x = 983,524,834.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.