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Finding the Third Proportional to 121,124,200.50 and 265,698,265.50

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Solution

The third proportional to 121,124,200.50 and 265,698,265.50 is: 582,836,196.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,124,200.50 : 265,698,265.50 = 265,698,265.50 : x
  2. Step 2: Convert to fraction form
    121,124,200.50/265,698,265.50 = 265,698,265.50/x
  3. Step 3: Cross multiply
    121,124,200.50x = 265,698,265.50 × 265,698,265.50
  4. Step 4: Simplify right side
    121,124,200.50x = 70,595,568,289,708,488
  5. Step 5: Solve for x
    x = 70,595,568,289,708,488/121,124,200.50
  6. Step 6: Final answer
    x = 582,836,196.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.