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Finding the Third Proportional to 89,369,618 and 192,847,316

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Solution

The third proportional to 89,369,618 and 192,847,316 is: 416,137,923.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,369,618 : 192,847,316 = 192,847,316 : x
  2. Step 2: Convert to fraction form
    89,369,618/192,847,316 = 192,847,316/x
  3. Step 3: Cross multiply
    89,369,618x = 192,847,316 × 192,847,316
  4. Step 4: Simplify right side
    89,369,618x = 37,190,087,288,403,856
  5. Step 5: Solve for x
    x = 37,190,087,288,403,856/89,369,618
  6. Step 6: Final answer
    x = 416,137,923.83

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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.