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Finding the Third Proportional to 73,665,682.88 and 160,409,792.81

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Solution

The third proportional to 73,665,682.88 and 160,409,792.81 is: 349,298,352.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,665,682.88 : 160,409,792.81 = 160,409,792.81 : x
  2. Step 2: Convert to fraction form
    73,665,682.88/160,409,792.81 = 160,409,792.81/x
  3. Step 3: Cross multiply
    73,665,682.88x = 160,409,792.81 × 160,409,792.81
  4. Step 4: Simplify right side
    73,665,682.88x = 25,731,301,630,149,176
  5. Step 5: Solve for x
    x = 25,731,301,630,149,176/73,665,682.88
  6. Step 6: Final answer
    x = 349,298,352.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.