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Finding the Third Proportional to 98,196,669 and 147,295,003.50

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Solution

The third proportional to 98,196,669 and 147,295,003.50 is: 220,942,505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,196,669 : 147,295,003.50 = 147,295,003.50 : x
  2. Step 2: Convert to fraction form
    98,196,669/147,295,003.50 = 147,295,003.50/x
  3. Step 3: Cross multiply
    98,196,669x = 147,295,003.50 × 147,295,003.50
  4. Step 4: Simplify right side
    98,196,669x = 21,695,818,056,065,012
  5. Step 5: Solve for x
    x = 21,695,818,056,065,012/98,196,669
  6. Step 6: Final answer
    x = 220,942,505.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.