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Finding the Third Proportional to 242,908,035.75 and 524,522,371.50

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Solution

The third proportional to 242,908,035.75 and 524,522,371.50 is: 1,132,625,017.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,908,035.75 : 524,522,371.50 = 524,522,371.50 : x
  2. Step 2: Convert to fraction form
    242,908,035.75/524,522,371.50 = 524,522,371.50/x
  3. Step 3: Cross multiply
    242,908,035.75x = 524,522,371.50 × 524,522,371.50
  4. Step 4: Simplify right side
    242,908,035.75x = 275,123,718,203,984,000
  5. Step 5: Solve for x
    x = 275,123,718,203,984,000/242,908,035.75
  6. Step 6: Final answer
    x = 1,132,625,017.34

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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.