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Finding the Third Proportional to 202,053,069 and 436,438,737

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Solution

The third proportional to 202,053,069 and 436,438,737 is: 942,716,545.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,053,069 : 436,438,737 = 436,438,737 : x
  2. Step 2: Convert to fraction form
    202,053,069/436,438,737 = 436,438,737/x
  3. Step 3: Cross multiply
    202,053,069x = 436,438,737 × 436,438,737
  4. Step 4: Simplify right side
    202,053,069x = 190,478,771,154,155,168
  5. Step 5: Solve for x
    x = 190,478,771,154,155,168/202,053,069
  6. Step 6: Final answer
    x = 942,716,545.20

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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.