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Finding the Third Proportional to 78,323,304 and 169,663,848

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Solution

The third proportional to 78,323,304 and 169,663,848 is: 367,525,625.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,323,304 : 169,663,848 = 169,663,848 : x
  2. Step 2: Convert to fraction form
    78,323,304/169,663,848 = 169,663,848/x
  3. Step 3: Cross multiply
    78,323,304x = 169,663,848 × 169,663,848
  4. Step 4: Simplify right side
    78,323,304x = 28,785,821,318,167,104
  5. Step 5: Solve for x
    x = 28,785,821,318,167,104/78,323,304
  6. Step 6: Final answer
    x = 367,525,625.81

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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.