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Finding the Third Proportional to 126,202,117.50 and 188,798,685

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Solution

The third proportional to 126,202,117.50 and 188,798,685 is: 282,443,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,202,117.50 : 188,798,685 = 188,798,685 : x
  2. Step 2: Convert to fraction form
    126,202,117.50/188,798,685 = 188,798,685/x
  3. Step 3: Cross multiply
    126,202,117.50x = 188,798,685 × 188,798,685
  4. Step 4: Simplify right side
    126,202,117.50x = 35,644,943,457,729,224
  5. Step 5: Solve for x
    x = 35,644,943,457,729,224/126,202,117.50
  6. Step 6: Final answer
    x = 282,443,307.32

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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.