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Finding the Third Proportional to 242,877,976 and 355,207,943

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Solution

The third proportional to 242,877,976 and 355,207,943 is: 519,490,012.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,877,976 : 355,207,943 = 355,207,943 : x
  2. Step 2: Convert to fraction form
    242,877,976/355,207,943 = 355,207,943/x
  3. Step 3: Cross multiply
    242,877,976x = 355,207,943 × 355,207,943
  4. Step 4: Simplify right side
    242,877,976x = 126,172,682,770,291,248
  5. Step 5: Solve for x
    x = 126,172,682,770,291,248/242,877,976
  6. Step 6: Final answer
    x = 519,490,012.43

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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.