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Finding the Third Proportional to 64,964,634.75 and 144,453,820.50

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Solution

The third proportional to 64,964,634.75 and 144,453,820.50 is: 321,204,088.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,964,634.75 : 144,453,820.50 = 144,453,820.50 : x
  2. Step 2: Convert to fraction form
    64,964,634.75/144,453,820.50 = 144,453,820.50/x
  3. Step 3: Cross multiply
    64,964,634.75x = 144,453,820.50 × 144,453,820.50
  4. Step 4: Simplify right side
    64,964,634.75x = 20,866,906,257,046,220
  5. Step 5: Solve for x
    x = 20,866,906,257,046,220/64,964,634.75
  6. Step 6: Final answer
    x = 321,204,088.00

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.