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Finding the Third Proportional to 64,966,274.50 and 144,457,984

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Solution

The third proportional to 64,966,274.50 and 144,457,984 is: 321,214,496.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,966,274.50 : 144,457,984 = 144,457,984 : x
  2. Step 2: Convert to fraction form
    64,966,274.50/144,457,984 = 144,457,984/x
  3. Step 3: Cross multiply
    64,966,274.50x = 144,457,984 × 144,457,984
  4. Step 4: Simplify right side
    64,966,274.50x = 20,868,109,141,344,256
  5. Step 5: Solve for x
    x = 20,868,109,141,344,256/64,966,274.50
  6. Step 6: Final answer
    x = 321,214,496.32

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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.