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Finding the Third Proportional to 191,924,355,699 and 422,232,911,248

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Solution

The third proportional to 191,924,355,699 and 422,232,911,248 is: 928,910,927,910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,924,355,699 : 422,232,911,248 = 422,232,911,248 : x
  2. Step 2: Convert to fraction form
    191,924,355,699/422,232,911,248 = 422,232,911,248/x
  3. Step 3: Cross multiply
    191,924,355,699x = 422,232,911,248 × 422,232,911,248
  4. Step 4: Simplify right side
    191,924,355,699x = 178,280,631,340,961,449,902,080
  5. Step 5: Solve for x
    x = 178,280,631,340,961,449,902,080/191,924,355,699
  6. Step 6: Final answer
    x = 928,910,927,910.39

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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.