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Finding the Third Proportional to 73,463,850 and 106,197,462

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Solution

The third proportional to 73,463,850 and 106,197,462 is: 153,516,334.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,463,850 : 106,197,462 = 106,197,462 : x
  2. Step 2: Convert to fraction form
    73,463,850/106,197,462 = 106,197,462/x
  3. Step 3: Cross multiply
    73,463,850x = 106,197,462 × 106,197,462
  4. Step 4: Simplify right side
    73,463,850x = 11,277,900,935,241,444
  5. Step 5: Solve for x
    x = 11,277,900,935,241,444/73,463,850
  6. Step 6: Final answer
    x = 153,516,334.02

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.