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Finding the Third Proportional to 191,924,355,696.75 and 422,232,911,244

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Solution

The third proportional to 191,924,355,696.75 and 422,232,911,244 is: 928,910,927,903.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,924,355,696.75 : 422,232,911,244 = 422,232,911,244 : x
  2. Step 2: Convert to fraction form
    191,924,355,696.75/422,232,911,244 = 422,232,911,244/x
  3. Step 3: Cross multiply
    191,924,355,696.75x = 422,232,911,244 × 422,232,911,244
  4. Step 4: Simplify right side
    191,924,355,696.75x = 178,280,631,337,583,592,341,504
  5. Step 5: Solve for x
    x = 178,280,631,337,583,592,341,504/191,924,355,696.75
  6. Step 6: Final answer
    x = 928,910,927,903.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.