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Finding the Third Proportional to 202,167,428 and 436,614,328

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Solution

The third proportional to 202,167,428 and 436,614,328 is: 942,941,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,167,428 : 436,614,328 = 436,614,328 : x
  2. Step 2: Convert to fraction form
    202,167,428/436,614,328 = 436,614,328/x
  3. Step 3: Cross multiply
    202,167,428x = 436,614,328 × 436,614,328
  4. Step 4: Simplify right side
    202,167,428x = 190,632,071,414,891,584
  5. Step 5: Solve for x
    x = 190,632,071,414,891,584/202,167,428
  6. Step 6: Final answer
    x = 942,941,567.30

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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.