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Finding the Third Proportional to 242,877,970 and 355,207,934

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Solution

The third proportional to 242,877,970 and 355,207,934 is: 519,489,998.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,877,970 : 355,207,934 = 355,207,934 : x
  2. Step 2: Convert to fraction form
    242,877,970/355,207,934 = 355,207,934/x
  3. Step 3: Cross multiply
    242,877,970x = 355,207,934 × 355,207,934
  4. Step 4: Simplify right side
    242,877,970x = 126,172,676,376,548,352
  5. Step 5: Solve for x
    x = 126,172,676,376,548,352/242,877,970
  6. Step 6: Final answer
    x = 519,489,998.93

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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.