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Finding the Third Proportional to 46,377,201 and 100,745,700

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Solution

The third proportional to 46,377,201 and 100,745,700 is: 218,850,983.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,377,201 : 100,745,700 = 100,745,700 : x
  2. Step 2: Convert to fraction form
    46,377,201/100,745,700 = 100,745,700/x
  3. Step 3: Cross multiply
    46,377,201x = 100,745,700 × 100,745,700
  4. Step 4: Simplify right side
    46,377,201x = 10,149,696,068,490,000
  5. Step 5: Solve for x
    x = 10,149,696,068,490,000/46,377,201
  6. Step 6: Final answer
    x = 218,850,983.88

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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.