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Finding the Third Proportional to 121,448,713.50 and 264,461,247

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Solution

The third proportional to 121,448,713.50 and 264,461,247 is: 575,878,896.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,448,713.50 : 264,461,247 = 264,461,247 : x
  2. Step 2: Convert to fraction form
    121,448,713.50/264,461,247 = 264,461,247/x
  3. Step 3: Cross multiply
    121,448,713.50x = 264,461,247 × 264,461,247
  4. Step 4: Simplify right side
    121,448,713.50x = 69,939,751,164,795,008
  5. Step 5: Solve for x
    x = 69,939,751,164,795,008/121,448,713.50
  6. Step 6: Final answer
    x = 575,878,896.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.