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Finding the Third Proportional to 202,167,422 and 436,614,316

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Solution

The third proportional to 202,167,422 and 436,614,316 is: 942,941,543.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,167,422 : 436,614,316 = 436,614,316 : x
  2. Step 2: Convert to fraction form
    202,167,422/436,614,316 = 436,614,316/x
  3. Step 3: Cross multiply
    202,167,422x = 436,614,316 × 436,614,316
  4. Step 4: Simplify right side
    202,167,422x = 190,632,060,936,147,840
  5. Step 5: Solve for x
    x = 190,632,060,936,147,840/202,167,422
  6. Step 6: Final answer
    x = 942,941,543.45

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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.