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Finding the Third Proportional to 238,318,992 and 514,259,528

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Solution

The third proportional to 238,318,992 and 514,259,528 is: 1,109,701,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,318,992 : 514,259,528 = 514,259,528 : x
  2. Step 2: Convert to fraction form
    238,318,992/514,259,528 = 514,259,528/x
  3. Step 3: Cross multiply
    238,318,992x = 514,259,528 × 514,259,528
  4. Step 4: Simplify right side
    238,318,992x = 264,462,862,138,782,784
  5. Step 5: Solve for x
    x = 264,462,862,138,782,784/238,318,992
  6. Step 6: Final answer
    x = 1,109,701,161.12

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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.