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Finding the Third Proportional to 146,353,258 and 289,005,138.50

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Solution

The third proportional to 146,353,258 and 289,005,138.50 is: 570,701,132.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,353,258 : 289,005,138.50 = 289,005,138.50 : x
  2. Step 2: Convert to fraction form
    146,353,258/289,005,138.50 = 289,005,138.50/x
  3. Step 3: Cross multiply
    146,353,258x = 289,005,138.50 × 289,005,138.50
  4. Step 4: Simplify right side
    146,353,258x = 83,523,970,079,404,176
  5. Step 5: Solve for x
    x = 83,523,970,079,404,176/146,353,258
  6. Step 6: Final answer
    x = 570,701,132.46

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.