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Finding the Third Proportional to 191,924,355,700 and 422,232,911,252

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Solution

The third proportional to 191,924,355,700 and 422,232,911,252 is: 928,910,927,923.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,924,355,700 : 422,232,911,252 = 422,232,911,252 : x
  2. Step 2: Convert to fraction form
    191,924,355,700/422,232,911,252 = 422,232,911,252/x
  3. Step 3: Cross multiply
    191,924,355,700x = 422,232,911,252 × 422,232,911,252
  4. Step 4: Simplify right side
    191,924,355,700x = 178,280,631,344,339,307,462,656
  5. Step 5: Solve for x
    x = 178,280,631,344,339,307,462,656/191,924,355,700
  6. Step 6: Final answer
    x = 928,910,927,923.15

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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.