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Finding the Third Proportional to 149,758,015,684 and 304,746,217,352

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Solution

The third proportional to 149,758,015,684 and 304,746,217,352 is: 620,135,466,981.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,758,015,684 : 304,746,217,352 = 304,746,217,352 : x
  2. Step 2: Convert to fraction form
    149,758,015,684/304,746,217,352 = 304,746,217,352/x
  3. Step 3: Cross multiply
    149,758,015,684x = 304,746,217,352 × 304,746,217,352
  4. Step 4: Simplify right side
    149,758,015,684x = 92,870,256,990,352,419,323,904
  5. Step 5: Solve for x
    x = 92,870,256,990,352,419,323,904/149,758,015,684
  6. Step 6: Final answer
    x = 620,135,466,981.05

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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.