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Finding the Third Proportional to 67,470,708.09 and 103,661,285.34

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Solution

The third proportional to 67,470,708.09 and 103,661,285.34 is: 159,264,107.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,470,708.09 : 103,661,285.34 = 103,661,285.34 : x
  2. Step 2: Convert to fraction form
    67,470,708.09/103,661,285.34 = 103,661,285.34/x
  3. Step 3: Cross multiply
    67,470,708.09x = 103,661,285.34 × 103,661,285.34
  4. Step 4: Simplify right side
    67,470,708.09x = 10,745,662,079,118,358
  5. Step 5: Solve for x
    x = 10,745,662,079,118,358/67,470,708.09
  6. Step 6: Final answer
    x = 159,264,107.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.