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Finding the Third Proportional to 91,090,857.23 and 196,696,427.84

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Solution

The third proportional to 91,090,857.23 and 196,696,427.84 is: 424,735,104.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,090,857.23 : 196,696,427.84 = 196,696,427.84 : x
  2. Step 2: Convert to fraction form
    91,090,857.23/196,696,427.84 = 196,696,427.84/x
  3. Step 3: Cross multiply
    91,090,857.23x = 196,696,427.84 × 196,696,427.84
  4. Step 4: Simplify right side
    91,090,857.23x = 38,689,484,723,419,152
  5. Step 5: Solve for x
    x = 38,689,484,723,419,152/91,090,857.23
  6. Step 6: Final answer
    x = 424,735,104.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.