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Finding the Third Proportional to 92,453,486 and 200,314,396

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Solution

The third proportional to 92,453,486 and 200,314,396 is: 434,011,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,453,486 : 200,314,396 = 200,314,396 : x
  2. Step 2: Convert to fraction form
    92,453,486/200,314,396 = 200,314,396/x
  3. Step 3: Cross multiply
    92,453,486x = 200,314,396 × 200,314,396
  4. Step 4: Simplify right side
    92,453,486x = 40,125,857,244,844,816
  5. Step 5: Solve for x
    x = 40,125,857,244,844,816/92,453,486
  6. Step 6: Final answer
    x = 434,011,295.64

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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.