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Finding the Third Proportional to 117,854,425 and 178,411,636

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Solution

The third proportional to 117,854,425 and 178,411,636 is: 270,084,995.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,854,425 : 178,411,636 = 178,411,636 : x
  2. Step 2: Convert to fraction form
    117,854,425/178,411,636 = 178,411,636/x
  3. Step 3: Cross multiply
    117,854,425x = 178,411,636 × 178,411,636
  4. Step 4: Simplify right side
    117,854,425x = 31,830,711,860,196,496
  5. Step 5: Solve for x
    x = 31,830,711,860,196,496/117,854,425
  6. Step 6: Final answer
    x = 270,084,995.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.