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Finding the Third Proportional to 96,903,832.50 and 148,948,153.50

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Solution

The third proportional to 96,903,832.50 and 148,948,153.50 is: 228,944,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,903,832.50 : 148,948,153.50 = 148,948,153.50 : x
  2. Step 2: Convert to fraction form
    96,903,832.50/148,948,153.50 = 148,948,153.50/x
  3. Step 3: Cross multiply
    96,903,832.50x = 148,948,153.50 × 148,948,153.50
  4. Step 4: Simplify right side
    96,903,832.50x = 22,185,552,431,059,564
  5. Step 5: Solve for x
    x = 22,185,552,431,059,564/96,903,832.50
  6. Step 6: Final answer
    x = 228,944,014.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.