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Finding the Third Proportional to 92,101,161.38 and 201,507,507

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Solution

The third proportional to 92,101,161.38 and 201,507,507 is: 440,876,909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,101,161.38 : 201,507,507 = 201,507,507 : x
  2. Step 2: Convert to fraction form
    92,101,161.38/201,507,507 = 201,507,507/x
  3. Step 3: Cross multiply
    92,101,161.38x = 201,507,507 × 201,507,507
  4. Step 4: Simplify right side
    92,101,161.38x = 40,605,275,377,355,048
  5. Step 5: Solve for x
    x = 40,605,275,377,355,048/92,101,161.38
  6. Step 6: Final answer
    x = 440,876,909.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.