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Finding the Third Proportional to 199,851,669 and 445,655,533.50

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Solution

The third proportional to 199,851,669 and 445,655,533.50 is: 993,781,315.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,851,669 : 445,655,533.50 = 445,655,533.50 : x
  2. Step 2: Convert to fraction form
    199,851,669/445,655,533.50 = 445,655,533.50/x
  3. Step 3: Cross multiply
    199,851,669x = 445,655,533.50 × 445,655,533.50
  4. Step 4: Simplify right side
    199,851,669x = 198,608,854,539,169,632
  5. Step 5: Solve for x
    x = 198,608,854,539,169,632/199,851,669
  6. Step 6: Final answer
    x = 993,781,315.58

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.