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Finding the Third Proportional to 194,426,612 and 458,962,332

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Solution

The third proportional to 194,426,612 and 458,962,332 is: 1,083,423,817.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,426,612 : 458,962,332 = 458,962,332 : x
  2. Step 2: Convert to fraction form
    194,426,612/458,962,332 = 458,962,332/x
  3. Step 3: Cross multiply
    194,426,612x = 458,962,332 × 458,962,332
  4. Step 4: Simplify right side
    194,426,612x = 210,646,422,194,878,208
  5. Step 5: Solve for x
    x = 210,646,422,194,878,208/194,426,612
  6. Step 6: Final answer
    x = 1,083,423,817.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.