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Finding the Third Proportional to 202,167,430 and 436,614,332

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Solution

The third proportional to 202,167,430 and 436,614,332 is: 942,941,575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,167,430 : 436,614,332 = 436,614,332 : x
  2. Step 2: Convert to fraction form
    202,167,430/436,614,332 = 436,614,332/x
  3. Step 3: Cross multiply
    202,167,430x = 436,614,332 × 436,614,332
  4. Step 4: Simplify right side
    202,167,430x = 190,632,074,907,806,208
  5. Step 5: Solve for x
    x = 190,632,074,907,806,208/202,167,430
  6. Step 6: Final answer
    x = 942,941,575.25

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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.