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Finding the Third Proportional to 112,803,745 and 152,198,737.50

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Solution

The third proportional to 112,803,745 and 152,198,737.50 is: 205,351,832.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,803,745 : 152,198,737.50 = 152,198,737.50 : x
  2. Step 2: Convert to fraction form
    112,803,745/152,198,737.50 = 152,198,737.50/x
  3. Step 3: Cross multiply
    112,803,745x = 152,198,737.50 × 152,198,737.50
  4. Step 4: Simplify right side
    112,803,745x = 23,164,455,696,593,908
  5. Step 5: Solve for x
    x = 23,164,455,696,593,908/112,803,745
  6. Step 6: Final answer
    x = 205,351,832.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.