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Finding the Third Proportional to 57,118,125 and 123,325,726.50

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Solution

The third proportional to 57,118,125 and 123,325,726.50 is: 266,276,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,118,125 : 123,325,726.50 = 123,325,726.50 : x
  2. Step 2: Convert to fraction form
    57,118,125/123,325,726.50 = 123,325,726.50/x
  3. Step 3: Cross multiply
    57,118,125x = 123,325,726.50 × 123,325,726.50
  4. Step 4: Simplify right side
    57,118,125x = 15,209,234,816,752,802
  5. Step 5: Solve for x
    x = 15,209,234,816,752,802/57,118,125
  6. Step 6: Final answer
    x = 266,276,857.25

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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.