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Finding the Third Proportional to 220,646,238.75 and 480,076,560

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Solution

The third proportional to 220,646,238.75 and 480,076,560 is: 1,044,538,555.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,646,238.75 : 480,076,560 = 480,076,560 : x
  2. Step 2: Convert to fraction form
    220,646,238.75/480,076,560 = 480,076,560/x
  3. Step 3: Cross multiply
    220,646,238.75x = 480,076,560 × 480,076,560
  4. Step 4: Simplify right side
    220,646,238.75x = 230,473,503,461,433,600
  5. Step 5: Solve for x
    x = 230,473,503,461,433,600/220,646,238.75
  6. Step 6: Final answer
    x = 1,044,538,555.32

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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.