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Finding the Third Proportional to 196,575,136 and 426,564,225

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Solution

The third proportional to 196,575,136 and 426,564,225 is: 925,636,078.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,575,136 : 426,564,225 = 426,564,225 : x
  2. Step 2: Convert to fraction form
    196,575,136/426,564,225 = 426,564,225/x
  3. Step 3: Cross multiply
    196,575,136x = 426,564,225 × 426,564,225
  4. Step 4: Simplify right side
    196,575,136x = 181,957,038,049,850,624
  5. Step 5: Solve for x
    x = 181,957,038,049,850,624/196,575,136
  6. Step 6: Final answer
    x = 925,636,078.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.