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Finding the Third Proportional to 309,439,887 and 468,146,164.50

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Solution

The third proportional to 309,439,887 and 468,146,164.50 is: 708,250,101.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,439,887 : 468,146,164.50 = 468,146,164.50 : x
  2. Step 2: Convert to fraction form
    309,439,887/468,146,164.50 = 468,146,164.50/x
  3. Step 3: Cross multiply
    309,439,887x = 468,146,164.50 × 468,146,164.50
  4. Step 4: Simplify right side
    309,439,887x = 219,160,831,336,061,056
  5. Step 5: Solve for x
    x = 219,160,831,336,061,056/309,439,887
  6. Step 6: Final answer
    x = 708,250,101.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.