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Finding the Third Proportional to 84,832,516.25 and 129,714,009.50

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Solution

The third proportional to 84,832,516.25 and 129,714,009.50 is: 198,340,506.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,832,516.25 : 129,714,009.50 = 129,714,009.50 : x
  2. Step 2: Convert to fraction form
    84,832,516.25/129,714,009.50 = 129,714,009.50/x
  3. Step 3: Cross multiply
    84,832,516.25x = 129,714,009.50 × 129,714,009.50
  4. Step 4: Simplify right side
    84,832,516.25x = 16,825,724,260,566,090
  5. Step 5: Solve for x
    x = 16,825,724,260,566,090/84,832,516.25
  6. Step 6: Final answer
    x = 198,340,506.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.