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Finding the Third Proportional to 91,006,913 and 196,558,605

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Solution

The third proportional to 91,006,913 and 196,558,605 is: 424,531,323.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,006,913 : 196,558,605 = 196,558,605 : x
  2. Step 2: Convert to fraction form
    91,006,913/196,558,605 = 196,558,605/x
  3. Step 3: Cross multiply
    91,006,913x = 196,558,605 × 196,558,605
  4. Step 4: Simplify right side
    91,006,913x = 38,635,285,199,546,024
  5. Step 5: Solve for x
    x = 38,635,285,199,546,024/91,006,913
  6. Step 6: Final answer
    x = 424,531,323.24

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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.