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Finding the Third Proportional to 96,745,968 and 210,497,136

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Solution

The third proportional to 96,745,968 and 210,497,136 is: 457,993,704.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,745,968 : 210,497,136 = 210,497,136 : x
  2. Step 2: Convert to fraction form
    96,745,968/210,497,136 = 210,497,136/x
  3. Step 3: Cross multiply
    96,745,968x = 210,497,136 × 210,497,136
  4. Step 4: Simplify right side
    96,745,968x = 44,309,044,264,202,496
  5. Step 5: Solve for x
    x = 44,309,044,264,202,496/96,745,968
  6. Step 6: Final answer
    x = 457,993,704.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.