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Finding the Third Proportional to 149,758,015,692 and 304,746,217,368

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Solution

The third proportional to 149,758,015,692 and 304,746,217,368 is: 620,135,467,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,758,015,692 : 304,746,217,368 = 304,746,217,368 : x
  2. Step 2: Convert to fraction form
    149,758,015,692/304,746,217,368 = 304,746,217,368/x
  3. Step 3: Cross multiply
    149,758,015,692x = 304,746,217,368 × 304,746,217,368
  4. Step 4: Simplify right side
    149,758,015,692x = 92,870,257,000,104,310,341,632
  5. Step 5: Solve for x
    x = 92,870,257,000,104,310,341,632/149,758,015,692
  6. Step 6: Final answer
    x = 620,135,467,013.04

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.