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Finding the Third Proportional to 202,507,182 and 441,813,284

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Solution

The third proportional to 202,507,182 and 441,813,284 is: 963,911,383.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,507,182 : 441,813,284 = 441,813,284 : x
  2. Step 2: Convert to fraction form
    202,507,182/441,813,284 = 441,813,284/x
  3. Step 3: Cross multiply
    202,507,182x = 441,813,284 × 441,813,284
  4. Step 4: Simplify right side
    202,507,182x = 195,198,977,918,864,640
  5. Step 5: Solve for x
    x = 195,198,977,918,864,640/202,507,182
  6. Step 6: Final answer
    x = 963,911,383.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.