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Finding the Third Proportional to 202,053,071 and 436,438,741

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Solution

The third proportional to 202,053,071 and 436,438,741 is: 942,716,553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,053,071 : 436,438,741 = 436,438,741 : x
  2. Step 2: Convert to fraction form
    202,053,071/436,438,741 = 436,438,741/x
  3. Step 3: Cross multiply
    202,053,071x = 436,438,741 × 436,438,741
  4. Step 4: Simplify right side
    202,053,071x = 190,478,774,645,665,088
  5. Step 5: Solve for x
    x = 190,478,774,645,665,088/202,053,071
  6. Step 6: Final answer
    x = 942,716,553.15

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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.