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Finding the Third Proportional to 177,877,656 and 385,446,348

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Solution

The third proportional to 177,877,656 and 385,446,348 is: 835,230,745.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,877,656 : 385,446,348 = 385,446,348 : x
  2. Step 2: Convert to fraction form
    177,877,656/385,446,348 = 385,446,348/x
  3. Step 3: Cross multiply
    177,877,656x = 385,446,348 × 385,446,348
  4. Step 4: Simplify right side
    177,877,656x = 148,568,887,186,537,088
  5. Step 5: Solve for x
    x = 148,568,887,186,537,088/177,877,656
  6. Step 6: Final answer
    x = 835,230,745.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.