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Finding the Third Proportional to 70,348,632.89 and 152,807,520.09

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Solution

The third proportional to 70,348,632.89 and 152,807,520.09 is: 331,920,283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,348,632.89 : 152,807,520.09 = 152,807,520.09 : x
  2. Step 2: Convert to fraction form
    70,348,632.89/152,807,520.09 = 152,807,520.09/x
  3. Step 3: Cross multiply
    70,348,632.89x = 152,807,520.09 × 152,807,520.09
  4. Step 4: Simplify right side
    70,348,632.89x = 23,350,138,197,201,812
  5. Step 5: Solve for x
    x = 23,350,138,197,201,812/70,348,632.89
  6. Step 6: Final answer
    x = 331,920,283.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.