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Finding the Third Proportional to 242,908,019 and 524,522,339

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Solution

The third proportional to 242,908,019 and 524,522,339 is: 1,132,624,955.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,908,019 : 524,522,339 = 524,522,339 : x
  2. Step 2: Convert to fraction form
    242,908,019/524,522,339 = 524,522,339/x
  3. Step 3: Cross multiply
    242,908,019x = 524,522,339 × 524,522,339
  4. Step 4: Simplify right side
    242,908,019x = 275,123,684,110,030,912
  5. Step 5: Solve for x
    x = 275,123,684,110,030,912/242,908,019
  6. Step 6: Final answer
    x = 1,132,624,955.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.