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Finding the Third Proportional to 106,689,468 and 229,283,448

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Solution

The third proportional to 106,689,468 and 229,283,448 is: 492,746,852.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,689,468 : 229,283,448 = 229,283,448 : x
  2. Step 2: Convert to fraction form
    106,689,468/229,283,448 = 229,283,448/x
  3. Step 3: Cross multiply
    106,689,468x = 229,283,448 × 229,283,448
  4. Step 4: Simplify right side
    106,689,468x = 52,570,899,526,768,704
  5. Step 5: Solve for x
    x = 52,570,899,526,768,704/106,689,468
  6. Step 6: Final answer
    x = 492,746,852.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.