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Finding the Third Proportional to 73,023,109.88 and 104,416,264.69

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Solution

The third proportional to 73,023,109.88 and 104,416,264.69 is: 149,305,560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,023,109.88 : 104,416,264.69 = 104,416,264.69 : x
  2. Step 2: Convert to fraction form
    73,023,109.88/104,416,264.69 = 104,416,264.69/x
  3. Step 3: Cross multiply
    73,023,109.88x = 104,416,264.69 × 104,416,264.69
  4. Step 4: Simplify right side
    73,023,109.88x = 10,902,756,331,290,060
  5. Step 5: Solve for x
    x = 10,902,756,331,290,060/73,023,109.88
  6. Step 6: Final answer
    x = 149,305,560.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.