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Finding the Third Proportional to 131,183,071 and 287,078,270.25

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Solution

The third proportional to 131,183,071 and 287,078,270.25 is: 628,236,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,183,071 : 287,078,270.25 = 287,078,270.25 : x
  2. Step 2: Convert to fraction form
    131,183,071/287,078,270.25 = 287,078,270.25/x
  3. Step 3: Cross multiply
    131,183,071x = 287,078,270.25 × 287,078,270.25
  4. Step 4: Simplify right side
    131,183,071x = 82,413,933,249,732,032
  5. Step 5: Solve for x
    x = 82,413,933,249,732,032/131,183,071
  6. Step 6: Final answer
    x = 628,236,041.60

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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.