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Finding the Third Proportional to 202,167,424 and 436,614,320

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Solution

The third proportional to 202,167,424 and 436,614,320 is: 942,941,551.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,167,424 : 436,614,320 = 436,614,320 : x
  2. Step 2: Convert to fraction form
    202,167,424/436,614,320 = 436,614,320/x
  3. Step 3: Cross multiply
    202,167,424x = 436,614,320 × 436,614,320
  4. Step 4: Simplify right side
    202,167,424x = 190,632,064,429,062,400
  5. Step 5: Solve for x
    x = 190,632,064,429,062,400/202,167,424
  6. Step 6: Final answer
    x = 942,941,551.40

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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.