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Finding the Third Proportional to 97,136,217 and 198,174,387

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Solution

The third proportional to 97,136,217 and 198,174,387 is: 404,309,421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,136,217 : 198,174,387 = 198,174,387 : x
  2. Step 2: Convert to fraction form
    97,136,217/198,174,387 = 198,174,387/x
  3. Step 3: Cross multiply
    97,136,217x = 198,174,387 × 198,174,387
  4. Step 4: Simplify right side
    97,136,217x = 39,273,087,662,825,768
  5. Step 5: Solve for x
    x = 39,273,087,662,825,768/97,136,217
  6. Step 6: Final answer
    x = 404,309,421.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.