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Finding the Third Proportional to 238,196,078 and 515,963,605

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Solution

The third proportional to 238,196,078 and 515,963,605 is: 1,117,644,101.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,196,078 : 515,963,605 = 515,963,605 : x
  2. Step 2: Convert to fraction form
    238,196,078/515,963,605 = 515,963,605/x
  3. Step 3: Cross multiply
    238,196,078x = 515,963,605 × 515,963,605
  4. Step 4: Simplify right side
    238,196,078x = 266,218,441,684,596,032
  5. Step 5: Solve for x
    x = 266,218,441,684,596,032/238,196,078
  6. Step 6: Final answer
    x = 1,117,644,101.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.