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Finding the Third Proportional to 151,700,908.50 and 332,929,567.50

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Solution

The third proportional to 151,700,908.50 and 332,929,567.50 is: 730,662,050.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,700,908.50 : 332,929,567.50 = 332,929,567.50 : x
  2. Step 2: Convert to fraction form
    151,700,908.50/332,929,567.50 = 332,929,567.50/x
  3. Step 3: Cross multiply
    151,700,908.50x = 332,929,567.50 × 332,929,567.50
  4. Step 4: Simplify right side
    151,700,908.50x = 110,842,096,915,737,056
  5. Step 5: Solve for x
    x = 110,842,096,915,737,056/151,700,908.50
  6. Step 6: Final answer
    x = 730,662,050.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.