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Finding the Third Proportional to 110,306,484 and 242,494,632

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Solution

The third proportional to 110,306,484 and 242,494,632 is: 533,093,290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,306,484 : 242,494,632 = 242,494,632 : x
  2. Step 2: Convert to fraction form
    110,306,484/242,494,632 = 242,494,632/x
  3. Step 3: Cross multiply
    110,306,484x = 242,494,632 × 242,494,632
  4. Step 4: Simplify right side
    110,306,484x = 58,803,646,548,815,424
  5. Step 5: Solve for x
    x = 58,803,646,548,815,424/110,306,484
  6. Step 6: Final answer
    x = 533,093,290.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.