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Finding the Third Proportional to 234,757,025 and 514,863,634

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Solution

The third proportional to 234,757,025 and 514,863,634 is: 1,129,186,918.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,757,025 : 514,863,634 = 514,863,634 : x
  2. Step 2: Convert to fraction form
    234,757,025/514,863,634 = 514,863,634/x
  3. Step 3: Cross multiply
    234,757,025x = 514,863,634 × 514,863,634
  4. Step 4: Simplify right side
    234,757,025x = 265,084,561,615,685,952
  5. Step 5: Solve for x
    x = 265,084,561,615,685,952/234,757,025
  6. Step 6: Final answer
    x = 1,129,186,918.33

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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.