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Finding the Third Proportional to 97,502,558,696.50 and 197,746,667,314.50

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Solution

The third proportional to 97,502,558,696.50 and 197,746,667,314.50 is: 401,053,520,612.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,502,558,696.50 : 197,746,667,314.50 = 197,746,667,314.50 : x
  2. Step 2: Convert to fraction form
    97,502,558,696.50/197,746,667,314.50 = 197,746,667,314.50/x
  3. Step 3: Cross multiply
    97,502,558,696.50x = 197,746,667,314.50 × 197,746,667,314.50
  4. Step 4: Simplify right side
    97,502,558,696.50x = 39,103,744,433,991,538,704,384
  5. Step 5: Solve for x
    x = 39,103,744,433,991,538,704,384/97,502,558,696.50
  6. Step 6: Final answer
    x = 401,053,520,612.84

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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.