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Finding the Third Proportional to 242,558,208 and 373,205,760

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Solution

The third proportional to 242,558,208 and 373,205,760 is: 574,223,154.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,558,208 : 373,205,760 = 373,205,760 : x
  2. Step 2: Convert to fraction form
    242,558,208/373,205,760 = 373,205,760/x
  3. Step 3: Cross multiply
    242,558,208x = 373,205,760 × 373,205,760
  4. Step 4: Simplify right side
    242,558,208x = 139,282,539,297,177,600
  5. Step 5: Solve for x
    x = 139,282,539,297,177,600/242,558,208
  6. Step 6: Final answer
    x = 574,223,154.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.