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Finding the Third Proportional to 106,470,873,294 and 165,388,468,102.50

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Solution

The third proportional to 106,470,873,294 and 165,388,468,102.50 is: 256,909,185,911.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,470,873,294 : 165,388,468,102.50 = 165,388,468,102.50 : x
  2. Step 2: Convert to fraction form
    106,470,873,294/165,388,468,102.50 = 165,388,468,102.50/x
  3. Step 3: Cross multiply
    106,470,873,294x = 165,388,468,102.50 × 165,388,468,102.50
  4. Step 4: Simplify right side
    106,470,873,294x = 27,353,345,381,291,660,410,880
  5. Step 5: Solve for x
    x = 27,353,345,381,291,660,410,880/106,470,873,294
  6. Step 6: Final answer
    x = 256,909,185,911.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.