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Finding the Third Proportional to 242,987,029.88 and 524,759,568.19

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Solution

The third proportional to 242,987,029.88 and 524,759,568.19 is: 1,133,281,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,987,029.88 : 524,759,568.19 = 524,759,568.19 : x
  2. Step 2: Convert to fraction form
    242,987,029.88/524,759,568.19 = 524,759,568.19/x
  3. Step 3: Cross multiply
    242,987,029.88x = 524,759,568.19 × 524,759,568.19
  4. Step 4: Simplify right side
    242,987,029.88x = 275,372,604,404,331,456
  5. Step 5: Solve for x
    x = 275,372,604,404,331,456/242,987,029.88
  6. Step 6: Final answer
    x = 1,133,281,083.13

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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.