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Finding the Third Proportional to 75,605,426 and 164,894,920

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Solution

The third proportional to 75,605,426 and 164,894,920 is: 359,634,699.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,605,426 : 164,894,920 = 164,894,920 : x
  2. Step 2: Convert to fraction form
    75,605,426/164,894,920 = 164,894,920/x
  3. Step 3: Cross multiply
    75,605,426x = 164,894,920 × 164,894,920
  4. Step 4: Simplify right side
    75,605,426x = 27,190,334,641,806,400
  5. Step 5: Solve for x
    x = 27,190,334,641,806,400/75,605,426
  6. Step 6: Final answer
    x = 359,634,699.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.