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Finding the Third Proportional to 68,935,832.16 and 148,765,622.63

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Solution

The third proportional to 68,935,832.16 and 148,765,622.63 is: 321,040,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,935,832.16 : 148,765,622.63 = 148,765,622.63 : x
  2. Step 2: Convert to fraction form
    68,935,832.16/148,765,622.63 = 148,765,622.63/x
  3. Step 3: Cross multiply
    68,935,832.16x = 148,765,622.63 × 148,765,622.63
  4. Step 4: Simplify right side
    68,935,832.16x = 22,131,210,475,003,912
  5. Step 5: Solve for x
    x = 22,131,210,475,003,912/68,935,832.16
  6. Step 6: Final answer
    x = 321,040,738.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.