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Finding the Third Proportional to 110,730,062 and 242,313,444

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Solution

The third proportional to 110,730,062 and 242,313,444 is: 530,260,744.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,730,062 : 242,313,444 = 242,313,444 : x
  2. Step 2: Convert to fraction form
    110,730,062/242,313,444 = 242,313,444/x
  3. Step 3: Cross multiply
    110,730,062x = 242,313,444 × 242,313,444
  4. Step 4: Simplify right side
    110,730,062x = 58,715,805,143,141,136
  5. Step 5: Solve for x
    x = 58,715,805,143,141,136/110,730,062
  6. Step 6: Final answer
    x = 530,260,744.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.