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Finding the Third Proportional to 46,961,088 and 102,259,156

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Solution

The third proportional to 46,961,088 and 102,259,156 is: 222,672,332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,961,088 : 102,259,156 = 102,259,156 : x
  2. Step 2: Convert to fraction form
    46,961,088/102,259,156 = 102,259,156/x
  3. Step 3: Cross multiply
    46,961,088x = 102,259,156 × 102,259,156
  4. Step 4: Simplify right side
    46,961,088x = 10,456,934,985,832,336
  5. Step 5: Solve for x
    x = 10,456,934,985,832,336/46,961,088
  6. Step 6: Final answer
    x = 222,672,332.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.