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Finding the Third Proportional to 109,076,630 and 242,366,724

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Solution

The third proportional to 109,076,630 and 242,366,724 is: 538,535,421.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,076,630 : 242,366,724 = 242,366,724 : x
  2. Step 2: Convert to fraction form
    109,076,630/242,366,724 = 242,366,724/x
  3. Step 3: Cross multiply
    109,076,630x = 242,366,724 × 242,366,724
  4. Step 4: Simplify right side
    109,076,630x = 58,741,628,902,492,176
  5. Step 5: Solve for x
    x = 58,741,628,902,492,176/109,076,630
  6. Step 6: Final answer
    x = 538,535,421.41

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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.