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Finding the Third Proportional to 92,453,484 and 200,314,392

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Solution

The third proportional to 92,453,484 and 200,314,392 is: 434,011,287.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,453,484 : 200,314,392 = 200,314,392 : x
  2. Step 2: Convert to fraction form
    92,453,484/200,314,392 = 200,314,392/x
  3. Step 3: Cross multiply
    92,453,484x = 200,314,392 × 200,314,392
  4. Step 4: Simplify right side
    92,453,484x = 40,125,855,642,329,664
  5. Step 5: Solve for x
    x = 40,125,855,642,329,664/92,453,484
  6. Step 6: Final answer
    x = 434,011,287.69

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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.