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Finding the Third Proportional to 183,008,126.25 and 278,800,258.50

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Solution

The third proportional to 183,008,126.25 and 278,800,258.50 is: 424,732,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,008,126.25 : 278,800,258.50 = 278,800,258.50 : x
  2. Step 2: Convert to fraction form
    183,008,126.25/278,800,258.50 = 278,800,258.50/x
  3. Step 3: Cross multiply
    183,008,126.25x = 278,800,258.50 × 278,800,258.50
  4. Step 4: Simplify right side
    183,008,126.25x = 77,729,584,139,666,816
  5. Step 5: Solve for x
    x = 77,729,584,139,666,816/183,008,126.25
  6. Step 6: Final answer
    x = 424,732,965.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.