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Finding the Third Proportional to 109,076,640 and 242,366,752

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Solution

The third proportional to 109,076,640 and 242,366,752 is: 538,535,496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,076,640 : 242,366,752 = 242,366,752 : x
  2. Step 2: Convert to fraction form
    109,076,640/242,366,752 = 242,366,752/x
  3. Step 3: Cross multiply
    109,076,640x = 242,366,752 × 242,366,752
  4. Step 4: Simplify right side
    109,076,640x = 58,741,642,475,029,504
  5. Step 5: Solve for x
    x = 58,741,642,475,029,504/109,076,640
  6. Step 6: Final answer
    x = 538,535,496.46

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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.