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Finding the Third Proportional to 92,064,917.25 and 196,895,350.13

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Solution

The third proportional to 92,064,917.25 and 196,895,350.13 is: 421,091,769.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,064,917.25 : 196,895,350.13 = 196,895,350.13 : x
  2. Step 2: Convert to fraction form
    92,064,917.25/196,895,350.13 = 196,895,350.13/x
  3. Step 3: Cross multiply
    92,064,917.25x = 196,895,350.13 × 196,895,350.13
  4. Step 4: Simplify right side
    92,064,917.25x = 38,767,778,900,846,336
  5. Step 5: Solve for x
    x = 38,767,778,900,846,336/92,064,917.25
  6. Step 6: Final answer
    x = 421,091,769.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.