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Finding the Third Proportional to 45,202,479.50 and 98,110,852.50

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Solution

The third proportional to 45,202,479.50 and 98,110,852.50 is: 212,947,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,202,479.50 : 98,110,852.50 = 98,110,852.50 : x
  2. Step 2: Convert to fraction form
    45,202,479.50/98,110,852.50 = 98,110,852.50/x
  3. Step 3: Cross multiply
    45,202,479.50x = 98,110,852.50 × 98,110,852.50
  4. Step 4: Simplify right side
    45,202,479.50x = 9,625,739,378,276,756
  5. Step 5: Solve for x
    x = 9,625,739,378,276,756/45,202,479.50
  6. Step 6: Final answer
    x = 212,947,154.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.