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Finding the Third Proportional to 146,274,480 and 304,655,704

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Solution

The third proportional to 146,274,480 and 304,655,704 is: 634,526,938.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,274,480 : 304,655,704 = 304,655,704 : x
  2. Step 2: Convert to fraction form
    146,274,480/304,655,704 = 304,655,704/x
  3. Step 3: Cross multiply
    146,274,480x = 304,655,704 × 304,655,704
  4. Step 4: Simplify right side
    146,274,480x = 92,815,097,979,735,616
  5. Step 5: Solve for x
    x = 92,815,097,979,735,616/146,274,480
  6. Step 6: Final answer
    x = 634,526,938.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.