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Finding the Third Proportional to 84,176,459,488 and 183,171,370,498

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Solution

The third proportional to 84,176,459,488 and 183,171,370,498 is: 398,588,289,103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,176,459,488 : 183,171,370,498 = 183,171,370,498 : x
  2. Step 2: Convert to fraction form
    84,176,459,488/183,171,370,498 = 183,171,370,498/x
  3. Step 3: Cross multiply
    84,176,459,488x = 183,171,370,498 × 183,171,370,498
  4. Step 4: Simplify right side
    84,176,459,488x = 33,551,750,970,115,585,212,416
  5. Step 5: Solve for x
    x = 33,551,750,970,115,585,212,416/84,176,459,488
  6. Step 6: Final answer
    x = 398,588,289,103.54

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