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Finding the Third Proportional to 106,461,336 and 216,781,584

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Solution

The third proportional to 106,461,336 and 216,781,584 is: 441,420,866.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,461,336 : 216,781,584 = 216,781,584 : x
  2. Step 2: Convert to fraction form
    106,461,336/216,781,584 = 216,781,584/x
  3. Step 3: Cross multiply
    106,461,336x = 216,781,584 × 216,781,584
  4. Step 4: Simplify right side
    106,461,336x = 46,994,255,161,549,056
  5. Step 5: Solve for x
    x = 46,994,255,161,549,056/106,461,336
  6. Step 6: Final answer
    x = 441,420,866.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.