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Finding the Third Proportional to 46,052,256 and 99,874,701

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Solution

The third proportional to 46,052,256 and 99,874,701 is: 216,600,808.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,052,256 : 99,874,701 = 99,874,701 : x
  2. Step 2: Convert to fraction form
    46,052,256/99,874,701 = 99,874,701/x
  3. Step 3: Cross multiply
    46,052,256x = 99,874,701 × 99,874,701
  4. Step 4: Simplify right side
    46,052,256x = 9,974,955,899,839,400
  5. Step 5: Solve for x
    x = 9,974,955,899,839,400/46,052,256
  6. Step 6: Final answer
    x = 216,600,808.87

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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.