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Finding the Third Proportional to 194,738,778 and 411,207,597

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Solution

The third proportional to 194,738,778 and 411,207,597 is: 868,300,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,738,778 : 411,207,597 = 411,207,597 : x
  2. Step 2: Convert to fraction form
    194,738,778/411,207,597 = 411,207,597/x
  3. Step 3: Cross multiply
    194,738,778x = 411,207,597 × 411,207,597
  4. Step 4: Simplify right side
    194,738,778x = 169,091,687,830,514,400
  5. Step 5: Solve for x
    x = 169,091,687,830,514,400/194,738,778
  6. Step 6: Final answer
    x = 868,300,035.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.