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Finding the Third Proportional to 242,877,980 and 355,207,949

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Solution

The third proportional to 242,877,980 and 355,207,949 is: 519,490,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,877,980 : 355,207,949 = 355,207,949 : x
  2. Step 2: Convert to fraction form
    242,877,980/355,207,949 = 355,207,949/x
  3. Step 3: Cross multiply
    242,877,980x = 355,207,949 × 355,207,949
  4. Step 4: Simplify right side
    242,877,980x = 126,172,687,032,786,608
  5. Step 5: Solve for x
    x = 126,172,687,032,786,608/242,877,980
  6. Step 6: Final answer
    x = 519,490,021.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.